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Properties of the Number 82948

Eighty-Two Thousand Nine Hundred Forty-Eight

Basics

Value: 82947 → 82948 → 82949

Parity: even

Prime: No

Previous Prime: 82939

Next Prime: 82963

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 2 2 × 89 × 233

Divisors: 1, 2, 4, 89, 178, 233, 356, 466, 932, 20737

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010000000100

Octal: 242004

Duodecimal: 40004

Hexadecimal: 14404

Square: 6880370704

Square Root: 288.00694436072195

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

For every positive integer m, let u(m) = (d(1),d(2),...,d(k)) be the unitary divisors of m. The sequence (a(n)) consists of successive numbers m which d(k)/d(1) + d(k-1)/d(2) + ... + d(k)/d(1) is an integer. A229996
Triangle read by rows: Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 2k. A227715
Number of 2n-step self-avoiding walks on diamond lattice ending at point with x = 0. A1396
Number of integer partitions of n whose multiplicities appear with relatively prime multiplicities. A319160
Total sum of the number of divisors of the element sum over all nonempty subsets of [n]. A309403
Rectangular array, by antidiagonals; row n consists of the numbers R(n)/n, where R(n) is row n of the array at A305995. A305996
Numbers k such that 2·9k + 1 is prime. A56802
Numbers m such that DivisorSigma(4·k-2, m) mod m = 0 holds presumably for all k; that is, (4k-2)-power-sums of divisors of m are divisible by m for all k. A66290
Number of non-intersecting cycle systems in a particular directed graph. A114300
Numbers k such that the sum of the squares of the odd divisors of k (A050999) is divisible by k. A355543