Properties of the Number 45316

Forty-Five Thousand Three Hundred Sixteen

Basics

Value: 45315 → 45316 → 45317

Parity: even

Prime: No

Previous Prime: 45307

Next Prime: 45317

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 11329

Divisors: 1, 2, 4, 11329, 22658, 45316

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1011000100000100

Octal: 130404

Duodecimal: 22284

Hexadecimal: b104

Square: 2053539856

Square Root: 212.8755504984074

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 compositions of n into divisors of n. A100346

G.f. satisfies A(x) = 1 + x·A(x)^3/2 * (1 + A(x)^1/2)². A371675

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals downwards, where T(n,0) = 0ⁿ and T(n,k) = k * ∑_r=0..n binomial(n,r) * binomial(3·n+r+k,n)/(3·n+r+k) for k > 0. A378238

Number of compositions of n into powers of 3 and doubled powers of 3. A235684

Total number of P shapes in all tilings of a 5 X n rectangle with pentominoes of any shape. A247739

Triangle T(n,k) for A(x)^k=sum(n>=k T(n,k)*xⁿ), where o.g.f. A(x) satisfies A(x)=(1+x·A(x)³)/(1-x·A(x)³). A187920

Number of nX2 1..5 arrays containing at least one of each value, all equal values connected, rows considered as a single number in nondecreasing order, and columns considered as a single number in decreasing order. A166839

Partial sums of primes in which no digit is a prime A061372. A172523

Number of active (ON, black) cells at stage 2ⁿ-1 of the two-dimensional cellular automaton defined by "Rule 809", based on the 5-celled von Neumann neighborhood. A273611

Primes p such that x⁸ = 2 has no solution mod p. A45316