Properties of the Number 3973

Three Thousand Nine Hundred Seventy-Three

Basics

Value: 3972 → 3973 → 3974

Parity: odd

Prime: No

Previous Prime: 3967

Next Prime: 3989

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 29 × 137

Divisors: 1, 29, 137, 3973

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 111110000101

Octal: 7605

Duodecimal: 2371

Hexadecimal: f85

Square: 15784729

Square Root: 63.0317380372777

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) = 4*(n+1)*n + 5. A78370

Numbers whose multiset multisystem (A302242) is crossing. A324170

Numbers k such that k⁴ can be written as a sum of four positive 4th powers. A3294

Number T(n,k) of permutations p of [n] with no fixed points where the maximal displacement of an element equals k; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A259784

Numbers of the form k + wt(k) for exactly three distinct k, where wt(k) = A000120(k) is the binary weight of k. A230092

Generalized Mancala solitaire (A002491); to get n-th term, start with n and successively round up to next 8 multiples of n-1, n-2, ..., 1, for n>=1. A113745

Numbers k such that k⁴ can be written as a sum of four positive 4th powers with no common factor. A39664

Fundamental discriminants of real quadratic number fields with class number 6. A218156

Numbers of the form (4k+3)²+4 or (4k+5)²-8. A214393

Least positive integer k such that prime(k·n) - 1 = (prime(i·n)-1)*(prime(j·n)-1) for some integers 0 < i < j < k. A257938