Properties of the Number 83376

Eighty-Three Thousand Three Hundred Seventy-Six

Basics

Value: 83375 → 83376 → 83377

Parity: even

Prime: No

Previous Prime: 83357

Next Prime: 83383

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁴ × 3 ³ × 193

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 18

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10100010110110000

Octal: 242660

Duodecimal: 40300

Hexadecimal: 145b0

Square: 6951557376

Square Root: 288.74902597238315

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) = n²*(n²+3)/4. A39623

Expansion of sqrt(1 - 4·x)/(1 - 2·x). A126966

Number of ways to place 3 nonattacking grasshoppers on a toroidal chessboard of size n·n. A190398

Expansion of e.g.f. log(1 + exp(x)*x*(1 + 7·x + 6·x² + x³)). A306325

L.g.f.: -log( ∑_n=-oo..+oo (-p)ⁿ * (p·x)^n² ) = ∑_n>=1 a(n) * xⁿ/n, where p = sqrt(5). A337970

a(n) = ∑_d∣n C(n,d)*σ(d)*σ(n/d). A179307

Square array A(n,k), n >= 1, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f. log(1 + ∑_j>=1 j^k * x^j/j!). A308484

Counts of Kekulean pericondensed planar benzenoid hydrocarbons (see reference for precise definition). A141788

Number of nX4 0..1 arrays with every element equal to 0, 1, 2, 4, 6 or 7 king-move adjacent elements, with upper left element zero. A299183

Numbers k such that A053664(k) is prime. A83376