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Properties of the Number 7971

Seven Thousand Nine Hundred Seventy-One

Basics

Value: 7970 → 7971 → 7972

Parity: odd

Prime: No

Previous Prime: 7963

Next Prime: 7993

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 2657

Divisors: 1, 3, 2657, 7971

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1111100100011

Octal: 17443

Duodecimal: 4743

Hexadecimal: 1f23

Square: 63536841

Square Root: 89.28045698807774

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) = least k such that the remainder when 20k is divided by k is n. A128160
Position of first appearance of each integer in A088568 (number of 1's minus number of 2's in first n terms of A000002). A288605
Number of partitions p of n such that (number of numbers in p of form 3k) < (number of numbers in p of form 3k+1). A241743
T(n,k) = 5·A046802(n,k) - 4·A007318(n,k), triangle read by rows (0 <= k <= n). A168290
Triangle read by rows: T(n,k) is the number of achiral colorings of the edges of a regular n-dimensional simplex using exactly k colors. Row n has (n+1)*n/2 columns. A327090
Numbers that are the sum of six fourth powers in three or more ways. A345560
Numbers that are the sum of six fourth powers in exactly three ways. A345815
Least k such that the first k terms of the Kolakoski sequence (A000002) contain n more 2's than 1's. A25503
Solution of the complementary equation a(n) = a(n-1) + a(n-2) + b(n) - 1, where a(0) = 1, a(1) = 3, b(0) = 2, b(1) = 4, b(2) = 5, and (a(n)) and (b(n)) are increasing complementary sequences. A295960
Integers whose set of prime factors (taken with multiplicity) uses each digit exactly once (i.e., is pandigital) in some base b > 1. Numbers are expressed in base 10. A58760