Properties of the Number 62814

Sixty-Two Thousand Eight Hundred Fourteen

Basics

Value: 62813 → 62814 → 62815

Parity: even

Prime: No

Previous Prime: 62801

Next Prime: 62819

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 19 ² × 29

Divisors: 1, 2, 3, 6, 19, 29, 38, 57, 58, 87

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111010101011110

Octal: 172536

Duodecimal: 30426

Hexadecimal: f55e

Square: 3945598596

Square Root: 250.62721320718546

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) = ∑_k=3..n (k-1)!*C(n,k)/2. A2807

Sum of three solutions of the Diophantine equation x² - y² = z³. A85409

G.f. satisfies: 1 = ∑_n>=0 (-x)^n*(n+1/2) * A(x)^3·n+1. A193113

Expansion of ∏_k>=1 1/(1 - σ(k)*x^k), where σ(k) is the sum of the divisors of k (A000203). A316961

A bisection of A002807. A99201

Number of 4Xn 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207113

Conjectured number of irreducible multiple ζ values of depth 9 and weight 2n+25. A22497

T(n,k)=Number of nXk 0..1 arrays avoiding 0 0 0 and 0 1 1 horizontally and 0 0 1 and 1 1 0 vertically. A207111

a(n) = ∑_i=0..n-1 i * (n - i)^{n - i}. A62814

Number of n X 4 0..2 arrays with diagonals and antidiagonals unimodal and rows nondecreasing. A224349