Properties of the Number 37696

Thirty-Seven Thousand Six Hundred Ninety-Six

Basics

Value: 37695 → 37696 → 37697

Parity: even

Prime: No

Previous Prime: 37693

Next Prime: 37699

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 ⁶ × 19 × 31

Divisors: 1, 2, 4, 8, 16, 19, 31, 32, 38, 62

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001101000000

Octal: 111500

Duodecimal: 19994

Hexadecimal: 9340

Square: 1420988416

Square Root: 194.15457759218555

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

Triangle read by rows: T(n,k) is the number of free polyforms consisting of k unit square cells and n-k isosceles right triangular cells whose short sides have unit length. Cells are joined along sides of equal lengths. A391193

a(n) = floor(n^n/2/n!!). A114854

Number of 6-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on an n X n board summed over all starting positions. A187301

Number of n X 5 0..1 arrays avoiding 0 0 0 and 1 1 1 horizontally and 0 0 1 and 1 0 1 vertically. A208376

a(n) = n*(n + 1)*(7·n + 11)/6. A255687

a(n) = (2·n³ - 6·n² + 19·n - 9)*n/6. A378023

Degrees of irreducible representations of O'Nan group ON. A3919

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, 1, -1), (-1, 1, 1), (1, -1, 0), (1, 1, 0)}. A149169

T(n,k)=Number of n-step one space leftwards or up, two space rightwards or down asymmetric rook's tours on a kXk board summed over all starting positions. A187296

a(n) = A005941(n) - n. A364559