Properties of the Number 51016

Fifty-One Thousand Sixteen

Basics

Value: 51015 → 51016 → 51017

Parity: even

Prime: No

Previous Prime: 51001

Next Prime: 51031

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ³ × 7 × 911

Divisors: 1, 2, 4, 7, 8, 14, 28, 56, 911, 1822

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100011101001000

Octal: 143510

Duodecimal: 25634

Hexadecimal: c748

Square: 2602632256

Square Root: 225.867217630182

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 binary sequences of length n containing exactly one subsequence 0000. A118898

G.f. A(x) satisfies: A(x) = x·exp(A(-x) - A(-x²)/2 + A(-x³)/3 - A(-x⁴)/4 + ...). A307366

a(n) = (3/2)*A019565((2n-1)²) - A019565(A001065((2n-1)²)), where A019565 is the base-2 exp-function, and A001065 is the sum of proper divisors of n. A379501

Inverse Moebius transform of A001371 (starting at term 0). A54158

[ exp(4/17)*n! ]. A30896

Decimal expansion of the ratio of the length of the latus rectum arc of any parabola to its semi latus rectum: sqrt(2) + log(1 + sqrt(2)). A103710

Number of points at the n-th step of the following iteration, starting with four points in general position in the real projective plane: dualize the current pointset to a family of lines, take all intersections of those lines, repeat. A140468

Decimal expansion of the ratio of the length of the latus rectum arc of any parabola to its latus rectum: (sqrt(2) + log(1 + sqrt(2)))/2. A103711

Number of new points at the n-th step of the following iteration, starting with four points in general position in the real projective plane: dualize the current pointset to a family of lines, take all intersections of those lines, repeat. A244020

Numbers k for which r^k-floor(r^k) < 1/2, where r is the real root of x³-x-1. A51016