Properties of the Number 81872

Eighty-One Thousand Eight Hundred Seventy-Two

Basics

Value: 81871 → 81872 → 81873

Parity: even

Prime: No

Previous Prime: 81869

Next Prime: 81883

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 2 ⁴ × 7 × 17 × 43

Divisors: 1, 2, 4, 7, 8, 14, 16, 17, 28, 34

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10011111111010000

Octal: 237720

Duodecimal: 3B468

Hexadecimal: 13fd0

Square: 6703024384

Square Root: 286.1328362841287

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

a(n) = n*(5·n² - 3)/2. A63522

Numbers k such that A011772(k) > A344878(k) and A011772(k) is a divisor of A344875(k). A344595

Numbers k, not powers of primes, for which A011772(k) divides A344875(k), and for all proper divisors d of k, A011772(d) < A011772(k). A344694

Number of nondecreasing integer sequences of length 8 with sum zero and sum of absolute values 2n. A158142

A bisection of A063522. A160699

a(n) = 5·2ⁿ⁺¹ - 3*(n+3). A169831

Long legs of primitive Pythagorean triangles sorted on semiperimeter. A81872

Number of permutations of [n] having exactly eight alternating descents. A302901

Number of nX5 array permutations with each element not moving, or moving one space N, SW or SE. A189431