Properties of the Number 9885

Nine Thousand Eight Hundred Eighty-Five

Basics

Value: 9884 → 9885 → 9886

Parity: odd

Prime: No

Previous Prime: 9883

Next Prime: 9887

Digit Sum: 30

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 659

Divisors: 1, 3, 5, 15, 659, 1977, 3295, 9885

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010011101

Octal: 23235

Duodecimal: 5879

Hexadecimal: 269d

Square: 97713225

Square Root: 99.42333730065593

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 2's in the last section of the set of partitions of n. A182712

Number of vertices formed by drawing the lines connecting any two of the 2*(n+2) perimeter points of a 3 X (n+1) rectangular grid of points (or equally, a 2 X n grid of squares). A331763

a(n) = ∑_k=0..n (-1)^n-k*A000041(k). A87787

MacMahon's generalized sum of divisors function. A2128

Numbers k such that the number of digits d in k² is not prime and for each factor f of d the sum of the d/f digit groupings in k² of size f is a square. A153745

Number of times the digit 0 appears in the first 10ⁿ decimal digits of Euler's number e = exp(1), counting starts after the decimal point. A322715

For a given unrestricted partition π, let P(π)=λ(π), if μ(π)=0. If μ(π)>0 then let P(π)=ν(π), where ν(π) is the number of parts of π greater than μ(π), μ(π) is the number of ones in π and λ(π) is the largest part of π. A100818

E.g.f. A(x) satisfies A(x) = (1 + x·A(x)²) * exp(x·A(x)²). A377892

Total number of smallest parts that are also emergent parts in all partitions of n. A220479

Consecutive states of the linear congruential pseudo-random number generator (967·s + 3041) mod 14406 when started at s=1. A385078