Properties of the Number 45945

Forty-Five Thousand Nine Hundred Forty-Five

Basics

Value: 45944 → 45945 → 45946

Parity: odd

Prime: No

Previous Prime: 45943

Next Prime: 45949

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 1021

Divisors: 1, 3, 5, 9, 15, 45, 1021, 3063, 5105, 9189

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011001101111001

Octal: 131571

Duodecimal: 22709

Hexadecimal: b379

Square: 2110943025

Square Root: 214.34784813475503

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

a(n) = T(n, n-5), array T as in A055818. A55822

Array read by antidiagonals: T(m,n) is the number of (undirected) paths in the rook graph K_m X K_n. A360877

Number of (undirected) paths in the 2 X n rook graph. A360878

Numbers n such that the sum of the digits of ∑_k=1..n (k!) is divisible by n. A109657

Numbers n such that prime[(n + 1)²] - prime[n²] is a perfect square. A145290

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 1), (-1, 0, 1), (-1, 1, -1), (1, -1, -1), (1, 1, 1)}. A149526

Hexagonal matchstick numbers: a(n) = 3·n*(3·n+1). A45945

Number of nondecreasing arrangements of 7 numbers in 0..n with the last equal to n and each after the second equal to the sum of one or two of the preceding four. A189330