Properties of the Number 7696

Seven Thousand Six Hundred Ninety-Six

Basics

Value: 7695 → 7696 → 7697

Parity: even

Prime: No

Previous Prime: 7691

Next Prime: 7699

Digit Sum: 28

Digital Root: 1

Palindrome: No

Factorization: 2 ⁴ × 13 × 37

Divisors: 1, 2, 4, 8, 13, 16, 26, 37, 52, 74

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000010000

Octal: 17020

Duodecimal: 4554

Hexadecimal: 1e10

Square: 59228416

Square Root: 87.72684879784524

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

a(n) = n*(2·n² - 2·n + 1). A59722

T(n,k)=Number of length n+1 0..k arrays with the sum of the maximum of each adjacent pair multiplied by some arrangement of +-1 equal to zero. A250646

Number of times when an odd number is encountered, when going from 2ⁿ⁺¹-1 to (2ⁿ)-1 using the iterative process described in A071542. A218543

Number of paraffins. A5997

a(n) = ceiling(n/2)*ceiling(n²/2). A131474

a(n) = (n-1)*(n+4)*(n+6)/6 for n > 1, a(1)=1. A137742

T(n,k) is the number of (n+1) X (k+1) 0..4 arrays with every 2 X 2 subblock having its diagonal sum differing from its antidiagonal sum by 3 (constant-stress 1 X 1 tilings). A234227

T(n,k)=Number of lower triangles of an n X n 0..k array with new values introduced in row major order 0..k and no element equal to more than two horizontal or vertical neighbors. A194576

Second 13-gonal numbers: a(n) = n*(11·n+9)/2. A211013

Numbers which are representable as a sum of thirteen but no fewer consecutive nonnegative integers. A270300