Properties of the Number 5275

Five Thousand Two Hundred Seventy-Five

Basics

Value: 5274 → 5275 → 5276

Parity: odd

Prime: No

Previous Prime: 5273

Next Prime: 5279

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 5 ² × 211

Divisors: 1, 5, 25, 211, 1055, 5275

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010011011

Octal: 12233

Duodecimal: 3077

Hexadecimal: 149b

Square: 27825625

Square Root: 72.62919523166975

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

Binomial transform of Fine's sequence A000957: 1, 0, 1, 2, 6, 18, 57, 186, ... A33321

Triangle T(n,k), 0 <= k <= n, read by rows, defined by: T(0,0) = 1, T(n,k) = 0 if n<k, T(n,0) = T(n-1,0) + T(n-1,1) and for k >= 1: T(n,k) = T(n-1,k-1) + x·T(n-1,k) + T(n-1,k+1) with x = 3. A110877

Values of n such that L(10) and N(10) are both prime, where L(k) = (n²+n+1)*2^2·k + (2·n+1)*2^k + 1, N(k) = (n²+n+1)*2^k + n. A227448

Number of base-5 (n+1)-digit numbers starting with a zero and with adjacent digits differing by one or less. A57960

T(n,k) is the number of n X k binary arrays without the pattern 0 1 diagonally, vertically or antidiagonally. A188866

a(n) = A063997(n)/4. A88406

Expansion of g.f. (1 + x + 2·x²)/((1 - x)³*(1 - x³)). A92498

Matrix inverse of A008459 (squares of entries of Pascal's triangle). A55133

Number of integer partitions of n whose parts plus 1 are relatively prime. A318980

Number of subgroups of index n in fundamental group of a certain fiber space. A27840