Properties of the Number 81700

Eighty-One Thousand Seven Hundred

Basics

Value: 81699 → 81700 → 81701

Parity: even

Prime: No

Previous Prime: 81689

Next Prime: 81701

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ² × 5 ² × 19 × 43

Divisors: 1, 2, 4, 5, 10, 19, 20, 25, 38, 43

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011111100100100

Octal: 237444

Duodecimal: 3B344

Hexadecimal: 13f24

Square: 6674890000

Square Root: 285.832118559129

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

Sum of the parts in the partitions of 4n into 4 parts with smallest part = 1. A239056

Number of distinct Cunningham chains of first kind whose initial prime (cf. A059453) <= 2ⁿ. A59690

a(n) = binomial(n,4) - binomial(floor(n/2),4) - binomial(ceiling(n/2),4). A111385

G.f. F₁(x) satisfies: x = ∑_n>=1 F_n(x)ⁿ, where the n-th iteration of the g.f. is defined by: F_n(x) = F_n-1( F₁(x) ) with F₀(x) = x. A171780

G.f. A(x) satisfies: x = A(x)-A(x)²-3·A(x)³. A276314

k-tuple abundance records. A81700