Properties of the Number 37996

Thirty-Seven Thousand Nine Hundred Ninety-Six

Basics

Value: 37995 → 37996 → 37997

Parity: even

Prime: No

Previous Prime: 37993

Next Prime: 37997

Digit Sum: 34

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 7 × 23 × 59

Divisors: 1, 2, 4, 7, 14, 23, 28, 46, 59, 92

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001010001101100

Octal: 112154

Duodecimal: 19BA4

Hexadecimal: 946c

Square: 1443696016

Square Root: 194.9256268426499

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 (w,x,y) with all terms in {0,...,n} and |w-x| + |x-y| ≠ w+x+y. A213480

Table read by antidiagonals: Place k points in general position on each side of a regular n-gon and join every pair of the n*(k+1) boundary points by a chord; T(n,k) (n >= 3, k >= 0) gives number of edges in the resulting planar graph. A367190

Number of (n+2) X (1+2) 0..1 arrays with no 3·3 subblock diagonal sum 0 and no antidiagonal sum 0 and no row sum 2 and no column sum 2. A255221

Consider a 3 X 3 X 3 Rubik cube, but only allow the moves M_R, D; sequence gives number of positions that are exactly n moves from the start. A80617

Irregular triangle read by rows: T(n,i) = number of n X n semi-canonical binary matrices with exactly i 1's, where 0 <= i <= n². A268523

a(n) = π(b(n)), where π is the prime counting function (A000720) and b(n) = a(n-1) + b(n-1) with a(0) = b(0) = 1. A337334

Decimal expansion of π*exp(2*π-π²/2). A37996