Numbers bigger than omega ( 𝜔 𝜔 ) are other transfinite ordinals like 𝜔 + 1 𝜔 + 1 , 𝜔 + 2 𝜔 + 2 , 𝜔 × 2 𝜔 × 2 , 𝜔 2 𝜔 2 , 𝜖 0 𝜖 0 (epsilon-nought), and even larger ones like 𝛤 0 Γ 0 (gamma-nought), representing successive "levels" or "sizes" of infinity in set theory, building on the idea that 𝜔 𝜔 is the first ordinal greater than all finite numbers, with the sequence continuing infinitely.
Did you know that there are numbers that are exactly divisible by all the numbers from 1 - 10? The number 2520, is the smallest number which is exactly divisible by all the numbers from 1 - 10.
This sequence does not extend above 52 because it is, an untouchable number, since it is never the sum of proper divisors of any number. It is the first untouchable number larger than 2 and 5.
142857 is the best-known cyclic number in base 10, being the six repeating digits of 1/7 (0. 142857).
Kaprekar constant, or 6174, is a constant that arises when we take a 4-digit integer, form the largest and smallest numbers from its digits, and then subtract these two numbers. Continuing with this process of forming and subtracting, we will always arrive at the number 6174.
Abstract. The numbers that give a perfect square on adding as well as subtracting their reverse are rare, like 65, 621770, etc. and hence have been termed as rare numbers by the author. This chapter is extensively devoted to computing and investigating rare numbers up to 1024.
Quattuorvigintillion. A unit of quantity equal to 1075 (1 followed by 75 zeros).
a cardinal number represented in the U.S. by 1 followed by 63 zeros, and in Great Britain by 1 followed by 120 zeros.
The cardinal number of one quintillion is 1,000,000,000,000,000,000. We can say that a quintillion is a million million millions or a billion billions or a million trillions or a thousand quadrillions.
The infinity symbol (∞) is a mathematical symbol representing the concept of infinity. This symbol is also called a lemniscate, after the lemniscate curves of a similar shape studied in algebraic geometry, or "lazy eight", in the terminology of livestock branding.
The idea is quite simple, if you don't use math to explain it. 137 is the odds that an electron will absorb a single photon. Protons and electrons are bound by interactions with photons. So when you get 137 protons, you get 137 photons, and you get a 100% chance of absorption.
As much as we would like to have an answer for "what's 1 divided by 0?" it's sadly impossible to have an answer. The reason, in short, is that whatever we may answer, we will then have to agree that that answer times 0 equals to 1, and that cannot be true, because anything times 0 is 0.
The Kaprekar routine
This graph proves exactly how all the three digit numbers end up as 495. The history of this discovery is actually about a more complicated case. In 1949, the Indian mathematician D.R. Kaprekar found the exact same thing happened for four digit numbers, and the result of that was 6174.
It is a square number (33 squared), a nonagonal number, a 32-gonal number, a 364-gonal number, and a centered octagonal number. 1089 is the first reverse-divisible number. The next is 2178 (= 1089 × 2 = 8712/4), and they are the only four-digit numbers that divide their reverse.
7× 11 × 13 + 13 can be wriiten as 13 (7× 11 + 1). Clearly, this has more than 2 factors. So, 7× 11 × 13 + 13 is a composite number. 7 × 6 × 5 × 4 × 3 × 2 × 1 + 5 can be wriiten as 5 (7 × 6 × 4 × 3 × 2 × 1 + 1).
Three times the Lord called Samuel, and three times Samuel failed to recognize God's voice. It was the fourth time, and only after receiving wise counsel from Eli, that Samuel finally came to recognize and answer the voice of the Caller (1 Samuel 3:10).
The figure of 480 years between the Exodus and the beginning of work on the Temple may be a way of stating that twelve generations had passed, where forty years stands as a trope for a generation.