Properties of the Number 10398

Ten Thousand Three Hundred Ninety-Eight

Basics

Value: 10397 → 10398 → 10399

Parity: even

Prime: No

Previous Prime: 10391

Next Prime: 10399

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 1733

Divisors: 1, 2, 3, 6, 1733, 3466, 5199, 10398

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100010011110

Octal: 24236

Duodecimal: 6026

Hexadecimal: 289e

Square: 108118404

Square Root: 101.97058399362044

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

Narayana-Zidek-Capell numbers: a(n) = 1 for n <= 2. Otherwise a(2n) = 2a(2n-1), a(2n+1) = 2a(2n) - a(n). A2083

Positive integers n such that n¹¹ + 1 is semiprime. A105122

Number of partitions of n whose greatest part is a multiple of 3. A363045

Number of L-convex polyominoes with n cells, that is, convex polyominoes where any two cells can be connected by a path internal to the polyomino and which has at most 1 change of direction (i.e., one of the four orientations of the letter L). A126764

The number of lit cells in weakly decreasing partitions of n when light shines from the north west. Here partitions are represented from left to right by columns of cells. A366157

Numerators of continued fraction convergents to sqrt(346). A41654

a(n) = 6 + 33·n + 6·binomial(n, 2) - 28·binomial(n, 3) + 20·binomial(n, 4) - 47·binomial(n, 5). A58985

Total sum of parts of multiplicity 9 in all partitions of n. A222737

A bisection of A002083. A259858

G.f. A(x) satisfies: 1/(1-x) = ∑_n>=0 xⁿ * (1+x)^n² / A(x)^n*(n+1/2). A325578