Properties of the Number 7688

Seven Thousand Six Hundred Eighty-Eight

Basics

Value: 7687 → 7688 → 7689

Parity: even

Prime: No

Previous Prime: 7687

Next Prime: 7691

Digit Sum: 29

Digital Root: 2

Palindrome: No

Factorization: 2 ³ × 31 ²

Divisors: 1, 2, 4, 8, 31, 62, 124, 248, 961, 1922

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000001000

Octal: 17010

Duodecimal: 4548

Hexadecimal: 1e08

Square: 59105344

Square Root: 87.68124086713189

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 compositions of the integer n into positive parts that avoid a fixed pattern of three letters. A102726

a(n) = 8·n². A139098

Numbers of the form p² * q³, where p,q are distinct primes. A143610

Numbers m with the property that the symmetric representation of σ(m) has three parts of width one. A247687

Number of regions formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331766

a(n) is the least k such that sopfr(k) - sopf(k) = n. A280286

Sorted positions of first appearances in A280292 (sum of prime factors minus sum of distinct prime factors). A381075

Numbers k such that there are only a finite nonzero number of sets of k consecutive triangular numbers that sum to a square. A176542

Twice a square but not the sum of 2 distinct squares. A81324

T(n,k) = number of (n+1) X (k+1) 0..3 arrays with the number of clockwise edge increases in every 2 X 2 subblock unequal to the number of counterclockwise edge increases. A206021