Properties of the Number 37072

Thirty-Seven Thousand Seventy-Two

Basics

Value: 37071 → 37072 → 37073

Parity: even

Prime: No

Previous Prime: 37061

Next Prime: 37087

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 7 × 331

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001000011010000

Octal: 110320

Duodecimal: 19554

Hexadecimal: 90d0

Square: 1374333184

Square Root: 192.54090474493984

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 A(n,k) of endofunctions on [n] whose cycle lengths are divisors of k; square array A(n,k), n>=0, k>=0, read by antidiagonals. A246522

Total number of walks with length > 0 in the Hasse diagram of a Boolean algebra of order n. A66534

a(n) is the smallest number k such that σ(k) - 2k = 2ⁿ. A292558

Maximum number of induced copies of the claw graph K_1,3 in an n-node graph. A352666

Number of partitions p of n for which Odd(p) = Odd(p') (mod 4), where p' is the conjugate of p. A97566

Number of endofunctions on [n] whose cycle lengths are divisors of 4. A246524

Number of endofunctions on [n] whose cycle lengths are divisors of 8. A246528

Expansion of 1/(1 - 4·x*(1+x)²)^5/2. A377195

Starting positions of strings of three 4's in the decimal expansion of π. A83615

100-gonal numbers: a(n) = 98·n*(n-1)/2 + n. A261276