Properties of the Number 5117

Five Thousand One Hundred Seventeen

Basics

Value: 5116 → 5117 → 5118

Parity: odd

Prime: No

Previous Prime: 5113

Next Prime: 5119

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 7 × 17 × 43

Divisors: 1, 7, 17, 43, 119, 301, 731, 5117

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111111101

Octal: 11775

Duodecimal: 2B65

Hexadecimal: 13fd

Square: 26183689

Square Root: 71.53320907103218

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 integer partitions of n with more than one mode. A362607

Multiples of 17 containing a 17 in their decimal representation. A121037

Composite numbers such that the square mean of their prime factors is a nonprime integer (where the prime factors are taken with multiplicity and the square mean of c and d is sqrt((c²+d²)/2)). A134602

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305

Write 0,1,2,3,4,... in a triangular spiral; then a(n) is the sequence found by reading the terms along the line from 0 in the direction 0,2,... A62708

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 5 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A302808

A051838 gives numbers m such that the sum of first m primes divides the product of the first m primes. This sequence gives corresponding values of the sum of first m primes. A140763

Expansion of (1 - x + 3·x²)/((1-x)*(1-2·x)). A154117

Expansion of ∏_k>=1 1/(1 - (3·k-2)*x^3·k-2). A265821

The minimal number which has multiplicative persistence 8 in base n. A64872