Properties of the Number 5107

Five Thousand One Hundred Seven

Basics

Value: 5106 → 5107 → 5108

Parity: odd

Prime: Yes

Previous Prime: 5101

Next Prime: 5113

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 5107

Divisors: 1, 5107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111110011

Octal: 11763

Duodecimal: 2B57

Hexadecimal: 13f3

Square: 26081449

Square Root: 71.46327728281149

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Balanced primes (of order one): primes which are the average of the previous prime and the following prime. A6562

Primes with first digit 5. A45711

Smallest of three consecutive primes with a difference of 6: primes p such that p+6 and p+12 are the next two primes. A47948

Smallest prime of a triple of successive primes, where the middle one is the arithmetic mean of the other two. A122535

Smallest prime equal to the sum of 2n+1 consecutive primes. A70934

Number of strict integer partitions of n with either (1) no part dividing all the others or (2) no part divisible by all the others. A343382

Primes p such that x²³ = 2 has no solution mod p. A40984

Poincaré series for invariant polynomial functions on the space of binary forms of degree 7. A293933

Squarefree n such that Q(sqrt(n)) has class number 5. A29705

Prime numbers containing the string 10. A166571