Properties of the Number 63258

Sixty-Three Thousand Two Hundred Fifty-Eight

Basics

Value: 63257 → 63258 → 63259

Parity: even

Prime: No

Previous Prime: 63247

Next Prime: 63277

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 × 3 × 13 × 811

Divisors: 1, 2, 3, 6, 13, 26, 39, 78, 811, 1622

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111011100011010

Octal: 173432

Duodecimal: 30736

Hexadecimal: f71a

Square: 4001574564

Square Root: 251.51143115174705

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

Nonnegative integers k such that the Euclidean distance between the vector of proportions of the digits 0-9 in 2^k and the uniform distribution (1/10, ..., 1/10) sets a new minimum. A393331

Nonnegative integers k such that the Manhattan distance between the vector of proportions of the digits 0-9 in 2^k and the uniform distribution (1/10, ..., 1/10) sets a new minimum. A393332

Nonnegative integers k such that the Chebyshev distance between the vector of proportions of the digits 0-9 in 2^k and the uniform distribution (1/10, ..., 1/10) sets a new minimum. A393333

a(n) = (2·n³ + 5·n² + 7·n)/2. A162264

Number of compositions of n where the largest part is larger than the number of parts. A348125

Triangular sequence defined by T(n, m) = Coefficients(q(x,n) + x^n-2*q(1/x,n))/4, where q(x, n) = d²*p(x, n)/dx² and p(x, n) = 2ⁿ*(1-x)ⁿ⁺¹*LerchPhi(x, -n, 1/2). A154706

Number of (n+2)X(7+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the central row and column plus the two sums of the diagonal and antidiagonal nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A259005

a(n) = (n³+5·n+3)/3 + 2·floor(n/2) + a(n-2), with a(0)=1 and a(1)=3. A336529

a(n) = binomial(n+5,4) - 1. A63258