Properties of the Number 5105

Five Thousand One Hundred Five

Basics

Value: 5104 → 5105 → 5106

Parity: odd

Prime: No

Previous Prime: 5101

Next Prime: 5107

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 1021

Divisors: 1, 5, 1021, 5105

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1001111110001

Octal: 11761

Duodecimal: 2B55

Hexadecimal: 13f1

Square: 26061025

Square Root: 71.449282711585

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

Numbers k such that 3^k + 34 is prime. A219050

Number of Sylvester classes of 4-packed words of degree n. A243667

Triangle read by rows in which row n lists n+1 terms, starting with n, such that the difference between successive terms is equal to n³ - 1. A162614

T(n,k)=Number of length n+2 0..k arrays with the sum of second differences multiplied by some arrangement of +-1 equal to zero. A250561

T(n,k) = Number of n X k 0..1 arrays with the number of 1's horizontally, diagonally or antidiagonally adjacent to some 0 one less than the number of 0's adjacent to some 1. A285750

Numbers k such that 6·k+1, 6·k+7, 6·k+13, 6·k+19 are consecutive primes. A90839

Square array T(n,k), n >= 0, k >= 0, read by antidiagonals, where T(n,k) = (-1)ⁿ * ∑_j=0..n (-2)^j * binomial(n,j) * binomial(k·n+j+1,n)/(k·n+j+1). A336573

Numbers n such that 6n+5, 6n+11, 6n+17, 6n+23 are consecutive primes or 6n+1, 6n+7, 6n+13, 6n+19 are consecutive primes. A90833

T(n,k)=Number of arrays of -k..k integers x(1..n) with every x(i) being in a substring of length 1 or 2 with sum zero. Array listed by antidiagonals. A193648

Numbers n such that the sum of digits of 2n equals 4. A279772