Properties of the Number 36964

Thirty-Six Thousand Nine Hundred Sixty-Four

Basics

Value: 36963 → 36964 → 36965

Parity: even

Prime: No

Previous Prime: 36947

Next Prime: 36973

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 9241

Divisors: 1, 2, 4, 9241, 18482, 36964

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000001100100

Octal: 110144

Duodecimal: 19484

Hexadecimal: 9064

Square: 1366337296

Square Root: 192.26024029944412

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 partitions satisfying 0 < cn(0,5) + cn(2,5) + cn(3,5). A39899

a(n) = T(n) concatenated with reverse(T(n)) divided by 11, where T(n) is the n-th triangular number. A84008

Number of n-node trees with a forbidden limb of length 4. A2990

Number of (n+1) X (2+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction. A250605

G.f.: ∏_k>=1 (1 + x^3·k²) / (1 - x^k). A385010

Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite VNI = VPI-9 Rb44K4[Zn24Si96O240].48H2O starting with a T3 atom. A19256

Primes with digits (0,...,8) taken as base 9 and converted to base 10. A36964

T(n,k)=Number of (n+1)X(k+1) 0..1 arrays with nondecreasing x(i,j)-x(i,j-1) in the i direction and nondecreasing x(i,j)-x(i-1,j) in the j direction. A250611

Square array read by antidiagonals downwards: T(n,k) is the number of sequences of length n with terms in 1..k such that no iterated difference is zero, n, k >= 0. A350529

Number of nX6 0..1 arrays with every 1 horizontally, diagonally or antidiagonally adjacent to 1 neighboring 1. A297393