Properties of the Number 45968

Forty-Five Thousand Nine Hundred Sixty-Eight

Basics

Value: 45967 → 45968 → 45969

Parity: even

Prime: No

Previous Prime: 45959

Next Prime: 45971

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ⁴ × 13 ² × 17

Divisors: 1, 2, 4, 8, 13, 16, 17, 26, 34, 52

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1011001110010000

Octal: 131620

Duodecimal: 22728

Hexadecimal: b390

Square: 2113057024

Square Root: 214.40149253211834

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

T(n,k) = Number of n X k 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1's. A297802

Number of partitions p of n such that the number of numbers having multiplicity 1 in p is not a part and the number of numbers having multiplicity > 1 is a part. A241415

Consecutive states of the linear congruential pseudo-random number generator (1861·s + 49297) mod 233280 when started at s=1. A385360

Prime gaps: differences between consecutive primes, starting at 10¹⁰⁰⁰⁰⁰. A365612

a(n) is the total number of vertices of degree 1 in Catalan word grid graphs with n parts. A390111

Number of nX3 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 2, 3 or 5 neighboring 1s. A297797

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 1), (0, -1, 1), (0, 1, -1), (0, 1, 0), (1, 0, 1)}. A150627

a(1)=5; for n >= 2, if n = Product p_i^e_i, then a(n) = Product p_i+3^e_i. A45968