Properties of the Number 82681

Eighty-Two Thousand Six Hundred Eighty-One

Basics

Value: 82680 → 82681 → 82682

Parity: odd

Prime: No

Previous Prime: 82657

Next Prime: 82699

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 89 × 929

Divisors: 1, 89, 929, 82681

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10100001011111001

Octal: 241371

Duodecimal: 3BA21

Hexadecimal: 142f9

Square: 6836147761

Square Root: 287.5430402565849

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

Table T(k, n) of smallest bases b > 1 such that p = prime(n) satisfies b^p-1 == 1 (mod p^k), read by antidiagonals. A257833

Smallest b > 1 such that b^p-1 == 1 (mod p⁷) for p = prime(n). A353940

Smallest integer with a constant congruence speed of (exactly) n in the radix-n numeral system. A390597

Number of (w,x,y,z) with all terms in {1,...,n} and w<x·y*z. A212057

a(n) = 25 + floor( ∑_j=1..n-1 a(j)/2 ). A120148

Smallest b > 1 such that p = prime(n) satisfies b^p-1 == 1 (mod p^p). A281747

a(n) is the least k such that k² + k + 1 is divisible by the n-th power of a prime. A372457

Numbers k such that k⁶ == 1 (mod 7⁵). A56103

Denominator of ∑_{i=n(n-1)/2+1..n(n+1)/2} 1/i. A82681

Number of n X 4 binary matrices with no three 1's adjacent in a line horizontally, vertically, diagonally or antidiagonally. A181220