Properties of the Number 16938

Sixteen Thousand Nine Hundred Thirty-Eight

Basics

Value: 16937 → 16938 → 16939

Parity: even

Prime: No

Previous Prime: 16937

Next Prime: 16943

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ² × 941

Divisors: 1, 2, 3, 6, 9, 18, 941, 1882, 2823, 5646

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100001000101010

Octal: 41052

Duodecimal: 9976

Hexadecimal: 422a

Square: 286895844

Square Root: 130.14607178090316

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 compositions of n with weakly increasing differences. A325546

The number of edges on a concave circular triangle formed by the straight line segments mutually connecting all vertices and all points that divide the sides into n equal parts. A340687

Triangle of coefficients of polynomials v(n,x) jointly generated with A209417; see the Formula section. A209418

Triangle read by rows, T(n,k) = ∑_{p in P(n,k)} Aut(p) where P(n,k) are the partitions of n with largest part k and Aut(p) = 1^j[1]*j[1]!*...*n^j[n]*j[n]! where j[m] is the number of parts in the partition p equal to m; for n>=0 and 0<=k<=n. A271708

G.f. satisfies A(x)/A(x²) = (1 + 9x + 9x² + 9x³ + ...). A176201

G.f.: ∏_k>=1 (1 + x^3·k²) / (1 - x^k). A385010

Representation degeneracies for Neveu-Schwarz strings. A5295

Numbers whose base-4 representation contains exactly three 0's and four 2's. A45056

a(n) = (6·n + 2)⁶. A16938

Irregular table T(n, k), n > 0, k = 1..A368195(n), read by rows: the n-th row lists the numbers that can be obtained by replacing any positive number without leading zeros, say m, appearing in the decimal expansion of n by one of the divisors of m. A368194