Properties of the Number 8400

Eight Thousand Four Hundred

Basics

Value: 8399 → 8400 → 8401

Parity: even

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 5 ² × 7

Divisors: 1, 2, 3, 4, 5, 6, 7, 8, 10, 12

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011010000

Octal: 20320

Duodecimal: 4A40

Hexadecimal: 20d0

Square: 70560000

Square Root: 91.6515138991168

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

Triangle of numbers T(n,k) = k!*Stirling2(n,k) read by rows (n >= 1, 1 <= k <= n). A19538

Triangle of numbers T(n,k) = k!*Stirling2(n,k) = A000142(k)*A048993(n,k) read by rows, T(n, k) for 0 <= k <= n. A131689

a(n) = n²*(n+1). A11379

a(n) = a(n-1) + a(n-2) + a(n-3), with a(0) = 0, a(1) = 2, a(2) = 1. A20992

a(n) = (n-1)*n*(n+4)/6. A5581

Expansion of g.f.: (1+x)/(1-20·x). A170740

Number of reduced words of length n in the Weyl group D₃₆. A162388

A factorial-like triangle read by rows: T(0,0) = 1; T(n+1,0) = T(n,0)+1; T(n+1,k+1) = T(n,0)*T(n,k), k=0..n. A245334

Numbers that can be expressed as the difference of the squares of primes in just three distinct ways. A90782

Triangle T(n,k) read by rows: number of labeled trees with n nodes and k leaves, n >= 2, 2 <= k <= n. A55314