Properties of the Number 36945

Thirty-Six Thousand Nine Hundred Forty-Five

Basics

Value: 36944 → 36945 → 36946

Parity: odd

Prime: No

Previous Prime: 36943

Next Prime: 36947

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 821

Divisors: 1, 3, 5, 9, 15, 45, 821, 2463, 4105, 7389

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000001010001

Octal: 110121

Duodecimal: 19469

Hexadecimal: 9051

Square: 1364933025

Square Root: 192.21082175569617

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) = ∑_k=0..n binomial(n,k)*Stirling1(n,k). A317274

Triangle T(n,k) = ∑_j=0..k Stirling1(n, n-j)*binomial(n,j), read by rows. A176153

Number of partitions p of 2n such that n - (number of parts of p) is a part of p. A238607

Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A206336

T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having nonzero determinant and commuting with every horizontal or vertical neighbor. A206343

Smallest n-digit prime containing only the digits 4 and 9, or 0 if no such prime exists. A36945

G.f. A(x) satisfies [xⁿ] A(x)ⁿ = [xⁿ] -1/A(x)ⁿ⁺¹ for n > 1 with A(0) = 1, A'(0) = 1. A383556