Properties of the Number 7988

Seven Thousand Nine Hundred Eighty-Eight

Basics

Value: 7987 → 7988 → 7989

Parity: even

Prime: No

Previous Prime: 7963

Next Prime: 7993

Digit Sum: 32

Digital Root: 5

Palindrome: No

Factorization: 2 ² × 1997

Divisors: 1, 2, 4, 1997, 3994, 7988

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111100110100

Octal: 17464

Duodecimal: 4758

Hexadecimal: 1f34

Square: 63808144

Square Root: 89.37561188601732

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 integer partitions of n that cannot be partitioned into constant multisets with distinct block-sums. A381717

Sum of digits = 8 times number of digits. A61425

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than three of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly one element. A283950

Partial sums of A068058 + 1. A68059

Numbers that are the sum of eight fourth powers in five or more ways. A345580

Numbers that are the sum of eight fourth powers in exactly five ways. A345837

Numbers whose smallest decimal digit is 7. A284068

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 2, 3, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317230

Discriminants of imaginary quadratic fields with class number 42 (negated). A351680

a(n) = 997·n + 1009. A100776