Properties of the Number 37681

Thirty-Seven Thousand Six Hundred Eighty-One

Basics

Value: 37680 → 37681 → 37682

Parity: odd

Prime: No

Previous Prime: 37663

Next Prime: 37691

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 ² × 769

Divisors: 1, 7, 49, 769, 5383, 37681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001001100110001

Octal: 111461

Duodecimal: 19981

Hexadecimal: 9331

Square: 1419857761

Square Root: 194.11594473406868

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 tree-rooted planar maps with n edges, k faces and no isthmuses, n >= 0, k = 1..n+1. A342987

a(n) = n! mod Fibonacci(n). A182213

G.f. A(x) satisfies A(x) = (1 + x·A(x)) * C(x·A(x)²), where C(x) is the g.f. of A000108. A381778

Number of tree-rooted planar maps with 3 vertices and n faces and no isthmuses. A6432

Number of 4 X 4 pandiagonal magic squares with line sum 2·n. A93196

Base-4 digits are, in order, the first n terms of the periodic sequence with initial period 1,0,3,2. A37681