Properties of the Number 51117

Fifty-One Thousand One Hundred Seventeen

Basics

Value: 51116 → 51117 → 51118

Parity: odd

Prime: No

Previous Prime: 51109

Next Prime: 51131

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 1549

Divisors: 1, 3, 11, 33, 1549, 4647, 17039, 51117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1100011110101101

Octal: 143655

Duodecimal: 256B9

Hexadecimal: c7ad

Square: 2612947689

Square Root: 226.0906897685086

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

Expansion of ∑_{1<=i<=j<=k<=l} q^i+j+k+l/( (1-qⁱ)*(1-q^j)*(1-q^k)*(1-q^l) )². A374931

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 521", based on the 5-celled von Neumann neighborhood. A272736

k such that 0 = ∑_j=1..k A373223(k, j). The indices of the rows in Gauss's triangle with vanishing row sums. A373181

Number of walks within N³ (the first octant of Z³) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, -1, 1), (0, 0, -1), (0, 1, 0), (1, 1, 0)}. A150084

Number of monotone Boolean functions of n variables with 9 mincuts. A51117

Indices of primes in sequence defined by A(0) = 57, A(n) = 10·A(n-1) - 53 for n > 0. A101571

Numbers k such that 5·10^k + R_k + 6 is prime, where R_k = 11...1 is the repunit (A002275) of length k. A103006