Properties of the Number 14738

Fourteen Thousand Seven Hundred Thirty-Eight

Basics

Value: 14737 → 14738 → 14739

Parity: even

Prime: No

Previous Prime: 14737

Next Prime: 14741

Digit Sum: 23

Digital Root: 5

Palindrome: No

Factorization: 2 × 7369

Divisors: 1, 2, 7369, 14738

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100110010010

Octal: 34622

Duodecimal: 8642

Hexadecimal: 3992

Square: 217208644

Square Root: 121.40016474453401

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 pairwise coprime strict compositions of n, where a singleton is not considered coprime unless it is (1). A337561

Number of partitions p of n such that (maximal multiplicity over the parts of p) = number of 1s in p. A241131

Number of normal generalized Young tableaux of size n with all rows and columns strictly increasing. A299968

Starting from generation 8 add previous and next term yielding generation 9. A48455

Expansion of ∏_{r = 1 or not a perfect power} 1/(1 - x^r). A305630

a(n) = 25·n² - 36·n + 13. A154355

A014486-codes for the Beanstalk-tree growing one natural number at time, starting from the tree of one internal node (1), with the "lesser numbers to the right side" construction. A218778

Irregular triangle read by rows: T(n,k) is the number of compositions of n such that the maximal cardinality of C is k, where C is a subset of the set of parts such that all elements in C appear in weakly increasing order within the composition. A386891

A014486-encoding of plane binary trees (Stanley's d) whose interior zigzag-tree (Stanley's c, i.e., tree obtained by discarding the outermost edges of the binary tree) is isomorphic to a valid plane binary tree (Stanley's d). A80299

(A178476(n)-3)/9. A178486