Properties of the Number 2126

Two Thousand One Hundred Twenty-Six

Basics

Value: 2125 → 2126 → 2127

Parity: even

Prime: No

Previous Prime: 2113

Next Prime: 2129

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 2 × 1063

Divisors: 1, 2, 1063, 2126

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001001110

Octal: 4116

Duodecimal: 1292

Hexadecimal: 84e

Square: 4519876

Square Root: 46.10856753359401

Classification

Fibonacci: No

Bell Number: No

Factorial Number: No

Regular Number: No

Perfect Number: No

Special

Kaprekar Constant: No

Munchausen Constant: No

Armstrong Number: No

Kaprekar Number: No

Catalan Number: No

Vampire Number: No

Taxicab Number: No

Super Prime: No

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Number of heapable permutations of length n. A336282

Number of strict integer partitions of n whose product of parts is a multiple of n. A379733

Iterate the map in A006368 starting at 40. A182205

Molien series for cyclic group of order 5. A8646

Numbers m such that 2^m reversed is prime. A57708

Number of steps required to reach (2ⁿ)-2 from 2ⁿ⁺¹-2 by iterating the map x -> x - (number of runs in binary representation of x). A255071

Number T(n,k) of permutations p of [n] such that in 0p the largest up-jump equals k and no down-jump is larger than 2; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A291680

Number of integer partitions of n with (1) as many odd parts as odd conjugate parts and (2) as many even parts as even conjugate parts. A351976

Triangle of coefficients of generating function of ternary rooted trees of height exactly n. A36437

Number of integer partitions of n where no part is 2^k times any other part, for any k > 0. A323093