Properties of the Number 5276

Five Thousand Two Hundred Seventy-Six

Basics

Value: 5275 → 5276 → 5277

Parity: even

Prime: No

Previous Prime: 5273

Next Prime: 5279

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 1319

Divisors: 1, 2, 4, 1319, 2638, 5276

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1010010011100

Octal: 12234

Duodecimal: 3078

Hexadecimal: 149c

Square: 27836176

Square Root: 72.63607918933951

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

Triangle T(n, k) = T(n-1, k) + T(n-1, k-1) + 11·T(n-2, k-1), read by rows. A153521

Number of binary carry-connected integer partitions of n. A325098

Number of integer partitions of n into parts > 1 whose product is a multiple of n. A379734

Irregular triangle read by rows: first row is 1, and the n-th row gives the coefficients in the expansion of (1/2·x)*(1 - 2·x*(1 - x))^{n + 1}*Li(-n, 2·x*(1 - x)), where Li(n, z) is the polylogarithm. A142147

Number of integer partitions of n containing no part > 1 whose prime indices all belong to the partition. A324754

Triangle of coefficients of Gaussian polynomials [2n+5,5]_q represented as finite sum of terms (1+q²)^k*q^g-k, where k = 0,1,...,g with g=5n. A267485

The difference between the number of partitions of 2n into odd parts (A000009) and the number of partitions of 2n into even parts (A035363). A282893

Index of first occurrence of n in A122921. A122925

E.g.f.: A(x) = exp(x·exp(x·A(x)*exp(x·A(x)²*exp(x·A(x)³*exp(...))))), an infinite power tower. A141360

Number of binary strings of length n with no substrings equal to 0000 or 0010. A164387