Properties of the Number 82552

Eighty-Two Thousand Five Hundred Fifty-Two

Basics

Value: 82551 → 82552 → 82553

Parity: even

Prime: No

Previous Prime: 82549

Next Prime: 82559

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 17 × 607

Divisors: 1, 2, 4, 8, 17, 34, 68, 136, 607, 1214

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10100001001111000

Octal: 241170

Duodecimal: 3B934

Hexadecimal: 14278

Square: 6814832704

Square Root: 287.3186384486743

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

Indices of records of minimal distance between successive Riemann ζ zeros. A326502

Numbers m such that d(m) < d(k) for all k < m, where d is the normalized δ defined as d(m) = (z(m+1) - z(m))*(log(z(m)/(2*π))/(2*π)) where z(k) is the imaginary part of the k-th Riemann ζ zero. A328656

a(n) = ∑_{i=1..floor((n+1)/4)} a(2·i-1) * a(n-2·i+1), with a(1)=2 and a(2)=a(3)=1. A24735

Fourth right hand column (n-m=3) of the A156920 triangle. A156923

T(n,k) = Number of n-step self-avoiding walks on a k X k X k X k 4-cube summed over all starting positions. A188784

Number of permutations of [n] with exactly 3 increasing runs of length at least 2. A507

A column and diagonal of A060187 (k=4). A60190

Number of sets of distinct primes, the greatest of which is prime(n), whose arithmetic mean is an integer. A82552

Number of 6-step self-avoiding walks on an n X n X n X n 4-cube summed over all starting positions. A188789