Properties of the Number 10863

Ten Thousand Eight Hundred Sixty-Three

Basics

Value: 10862 → 10863 → 10864

Parity: odd

Prime: No

Previous Prime: 10861

Next Prime: 10867

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 17 × 71

Divisors: 1, 3, 9, 17, 51, 71, 153, 213, 639, 1207

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10101001101111

Octal: 25157

Duodecimal: 6353

Hexadecimal: 2a6f

Square: 118004769

Square Root: 104.22571659624126

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 integer partitions of n whose parts do not have choosable sets of strict integer partitions. A387137

Triangles in open triangular matchstick arrangement (triangle minus one side) of side n. A45947

Partial sums of second pentagonal numbers with even index (A049453). A51895

Cogrowth sequence of the 12-element dicyclic group Dic12 = <S,T | S⁶, T⁴, STST³, S^3T^2>. A377656

G.f. A(x) satisfies: 1 = ∑_n>=0 ( 1 + x·A(x)ⁿ - A(x) )ⁿ. A303923

Convolution of natural numbers n >= 1 with Fibonacci numbers F(k), k >= 4. A33960

Numerators of continued fraction convergents to sqrt(947). A42832

Expansion of 1/(1-3·x-3·x²-2·x³). A77829

Numbers m such that numerator of ∑_k=1..m 1/(prime(k)-k) is prime. A92065