Properties of the Number 7372

Seven Thousand Three Hundred Seventy-Two

Basics

Value: 7371 → 7372 → 7373

Parity: even

Prime: No

Previous Prime: 7369

Next Prime: 7393

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 19 × 97

Divisors: 1, 2, 4, 19, 38, 76, 97, 194, 388, 1843

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110011001100

Octal: 16314

Duodecimal: 4324

Hexadecimal: 1ccc

Square: 54346384

Square Root: 85.86035173466273

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

Numbers k such that (266·10^k + 1)/3 is prime. A269303

Number of different products of partitions of n; number of partitions of n into prime parts (1 included); number of distinct orders of Abelian subgroups of symmetric group S_n. A34891

Expansion of (2 + 2·x - 3·x²) / (1 - 2·x - x² + x³). A33304

a(n) = 10·binomial(n,2) + 9·n. A135705

T(n,k)=Number of nXk 0..1 arrays with no 1 equal to more than one of its horizontal, diagonal and antidiagonal neighbors, with the exception of exactly two elements. A283634

Sums of distinct powers of 9. A33046

Sum of n-th powers of the three roots of x³-2·x²-x+1. A274975

G.f. satisfies: A(x) = 1/(1 + x·A(x⁸)) and also the continued fraction: 1 + x·A(x⁹) = [1; 1/x, 1/x⁸, 1/x⁶⁴, 1/x⁵¹², ..., 1/x^{8^(n-1}), ...]. A101918

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical or antidiagonal neighbors in a random 0..1 nXk array. A218084

Numbers that are the sum of five third powers in nine or more ways. A345185