Properties of the Number 78204

Seventy-Eight Thousand Two Hundred Four

Basics

Value: 78203 → 78204 → 78205

Parity: even

Prime: No

Previous Prime: 78203

Next Prime: 78229

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ² × 3 × 7 ³ × 19

Divisors: 1, 2, 3, 4, 6, 7, 12, 14, 19, 21

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10011000101111100

Octal: 230574

Duodecimal: 39310

Hexadecimal: 1317c

Square: 6115865616

Square Root: 279.6497809761345

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

Number of collinear point-triples in the n X n X n cube. A157882

Dirichlet g.f.: ∏_k>=2 1 / (1 - k^-s)^k³. A343283

Number of arrays of 2n nondecreasing integers in -3..3 with sum zero and equal numbers greater than zero and less than zero. A203286

Irregular triangle read by rows: T(n,k) is number of sequences of length k over {0,1,...,n-1} containing no two consecutive blocks with the same average, n >= 1, 0 <= k <= A379914(n). A379998

Numbers k such that φ(k)*σ(k) is a cube. A114077

a(n) = 54·n² + 6·n. A277990

Maximum number of copies of a 1234 permutation pattern in an alternating (or zig-zag) permutation of length n + 5. A338429

Number of 5-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions. A187379

Smallest multiple of the concatenation of 1 up to n that begins with the concatenation of n down to 1. A78204