Properties of the Number 4264

Four Thousand Two Hundred Sixty-Four

Basics

Value: 4263 → 4264 → 4265

Parity: even

Prime: No

Previous Prime: 4261

Next Prime: 4271

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 2 ³ × 13 × 41

Divisors: 1, 2, 4, 8, 13, 26, 41, 52, 82, 104

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000010101000

Octal: 10250

Duodecimal: 2574

Hexadecimal: 10a8

Square: 18181696

Square Root: 65.29931086925804

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 flat partitions of n: partitions {a_i} with each |a_i - a_i-1| <= 1. A34296

Second heptagonal numbers: a(n) = n*(5·n+3)/2. A147875

a(n) = 2·a(n-1) + 6·a(n-2). A83098

Numbers k such that φ(k) = φ(k+4), with Euler's totient function φ = A000010. A179186

a(n) = 2·a(n-1) + 10·a(n-2), with a(0) = 1, a(1) = 2. A83102

Positive numbers whose product of digits is 12 times their sum. A62045

Number A(n,k) of n-length words over a k-ary alphabet {a₁,a₂,...,a_k} avoiding consecutive letters a_i, a_i+1; square array A(n,k), n>=0, k>=0, read by antidiagonals. A277666

T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with no element equal to a strict majority of its horizontal, vertical and antidiagonal neighbors, with values 0..2 introduced in row major order. A231199

Sum of the second largest parts of the partitions of n into 9 parts. A326472

a(1) = 1, a(n+1) is the sum of a(n) and ceiling( arithmetic mean of a(1) ... a(n) ). A65095