Properties of the Number 36126

Thirty-Six Thousand One Hundred Twenty-Six

Basics

Value: 36125 → 36126 → 36127

Parity: even

Prime: No

Previous Prime: 36109

Next Prime: 36131

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ⁴ × 223

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1000110100011110

Octal: 106436

Duodecimal: 18AA6

Hexadecimal: 8d1e

Square: 1305087876

Square Root: 190.0684087374859

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

Triangle of numbers composed of certain generalized Catalan numbers. A64879

Number of ways to write n as an ordered sum of 9 primes (counting 1 as a prime). A341988

Positions of record high water marks in A246024. A246026

A(n, k) = (m·k)! [x^k] MittagLefflerE(m, x)ⁿ, for m = 3, n >= 0, k >= 0; square array read by descending antidiagonals. A326474

a(n) = ∑_k=1..n floor(k⁴/n). A14819

Generalized Catalan numbers C(3,3; n). A64341

Numbers k such that k⁴ + 1, (k+2)⁴ + 1 and (k+4)⁴ + 1 are all primes. A73476

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 441", based on the 5-celled von Neumann neighborhood. A272223

Number of words of length n over the alphabet {0,...,n-1} that avoid the pattern 123. A239295

a(n) = 3ⁿ mod 43. A36126