Properties of the Number 5102

Five Thousand One Hundred Two

Basics

Value: 5101 → 5102 → 5103

Parity: even

Prime: No

Previous Prime: 5101

Next Prime: 5107

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 2 × 2551

Divisors: 1, 2, 2551, 5102

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111101110

Octal: 11756

Duodecimal: 2B52

Hexadecimal: 13ee

Square: 26030404

Square Root: 71.42828571371429

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 partitions of n in which the greatest part is 7. A26813

Number of arrangements of n circles in the affine plane with the property that every circle intersects all the other circles. A288554

T(n,k)=Number of length n+5 0..k arrays with no six consecutive terms having the maximum of any three terms equal to the minimum of the remaining three terms. A250014

Number of square binary words: binary words of length 2n obtained by self-shuffling. A191755

Numbers of the form i·9^j-1 (i=1..8, j >= 0). A140576

Numbers k such that k⁸ == 1 (mod 9³). A56084

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 4 or 5 king-move adjacent elements, with upper left element zero. A304347

Expansion of (∏_k>0 theta₃(q^k)/theta₄(q^k))^1/2, where theta₃() and theta₄() are the Jacobi θ functions. A320968

a(n) = 3rd elementary symmetric function of the first n+2 primes. A24448

Triangle of T(n,k) coefficients of polynomials with first n prime numbers as roots. A70918