Properties of the Number 83916

Eighty-Three Thousand Nine Hundred Sixteen

Basics

Value: 83915 → 83916 → 83917

Parity: even

Prime: No

Previous Prime: 83911

Next Prime: 83921

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ⁴ × 7 × 37

Divisors: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

5184 Try Today's Challenge

Representations

Binary: 10100011111001100

Octal: 243714

Duodecimal: 40690

Hexadecimal: 147cc

Square: 7041895056

Square Root: 289.68258490975944

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) = sum of n consecutive cubes after n³. A116149

Numbers k divisible by at least one nontrivial permutation (rearrangement) of the digits of k, excluding all permutations that result in digit loss. A90056

A121153 \ A005836. A170830

Number of 7-length words w over n-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z. A213286

Number of binary strings of length n with equal numbers of 00010 and 01000 substrings. A164214

Number of n-length words w over 7-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z. A213295

Total volume of all cubes with side length q such that n = p + q and p <= q. A303383

Number of words w of length n over an n-ary alphabet such that for every prefix z of w we have #(z,a_i) = 0 or #(z,a_i) >= #(z,a_j) for all j>i and #(z,a_i) counts the occurrences of the i-th letter in z. A321704

Numbers k such that R_k + 50 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A256723

The forgotten topological index of the Aztec diamond AZ(n) (see the Ramanes et al. reference, Theorem 2.1). A292346