Properties of the Number 7338

Seven Thousand Three Hundred Thirty-Eight

Basics

Value: 7337 → 7338 → 7339

Parity: even

Prime: No

Previous Prime: 7333

Next Prime: 7349

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1223

Divisors: 1, 2, 3, 6, 1223, 2446, 3669, 7338

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1110010101010

Octal: 16252

Duodecimal: 42B6

Hexadecimal: 1caa

Square: 53846244

Square Root: 85.66212698736823

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) = ∑_k=0..n p(k) where p(k) = number of partitions of k (A000041). A70

Number of palindromic partitions of n. A25065

Fine's sequence (or Fine numbers): number of relations of valence >= 1 on an n-set; also number of ordered rooted trees with n nodes having root of even degree. A957

Inverse binomial matrix applied to A110877. A126093

Array read by antidiagonals: T(m,n) is the number of m X n binary arrays with all 1's connected, a path of 1's from top row to bottom row, and no 1 having more than two 1's adjacent. A391822

Difference between the arithmetic mean of the neighbors of the terms and the term itself follows the pattern 0,1,2,3,4,5,... A86514

Triangle T(n,k) giving number of Dyck paths of length 2n with exactly k hills (0 <= k <= n). A65600

Generalized Catalan numbers C(-1; n). A64310

Number of cycles of n-digit numbers (including fixed points) under the Kaprekar map A151949. A164731

Positive integers k such that k²⁰ + 1 is semiprime (A001358). A105282