Properties of the Number 45756

Forty-Five Thousand Seven Hundred Fifty-Six

Basics

Value: 45755 → 45756 → 45757

Parity: even

Prime: No

Previous Prime: 45751

Next Prime: 45757

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 31 × 41

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 31, 36

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001010111100

Octal: 131274

Duodecimal: 22590

Hexadecimal: b2bc

Square: 2093611536

Square Root: 213.90652163971066

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 T(n,k) read by rows: coefficients of a polynomial sequence occurring when calculating the n-th derivative of Lambert function W. A42977

G.f. A(x) satisfies: A(x) = 1 + x + x² + x³ + x⁴ * A(x)³. A346734

Expansion of (1/x) * Series_Reversion( x / (1 + x² / (1 - x)²)² ). A389658

Numbers k that divide the (right) concatenation of all numbers <= k written in base 3 (most significant digit on left). A29448

Starting positions of strings of three 3's in the decimal expansion of π. A83610

Triangle read by rows: T(n,k) is the number of white corners of rank k in all the permutations of {1,2,...,n} (n>=2, 0<=k<=n-2; for definitions see the Eriksson-Linusson references). A140713

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 437", based on the 5-celled von Neumann neighborhood. A272155

Leading digit of 2ⁿ. A8952

Expansion of e.g.f. (1-9·x)^-1/9, 9-factorial numbers. A45756

Numbers which converge to 2592 under repeated application of the powertrain map of A133500. A135384