Properties of the Number 9861

Nine Thousand Eight Hundred Sixty-One

Basics

Value: 9860 → 9861 → 9862

Parity: odd

Prime: No

Previous Prime: 9859

Next Prime: 9871

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 19 × 173

Divisors: 1, 3, 19, 57, 173, 519, 3287, 9861

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011010000101

Octal: 23205

Duodecimal: 5859

Hexadecimal: 2685

Square: 97239321

Square Root: 99.30256794262674

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 partitions of n where n divides the product of the parts. A57568

4-dimensional analog of centered polygonal numbers: a(n) = n(n+1)*(n²+n+4)/12. A6007

Inverse Mertens function: smallest k such that |M(k)| = n, where M(x) is Mertens's function A002321. A51402

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s. A297224

Smallest value of·such that M(x) = -n, where M(x) is Mertens's function A002321. A51401

12-gonal (or dodecagonal) pyramidal numbers: a(n) = n*(n+1)*(10·n-7)/6. A7587

Sum of the third largest parts in the partitions of n into 7 parts. A308931

Product of n-th prime number and n-th composite number. A67563

An inverse to Mertens's function: smallest k >= 2 such that Mertens's function |M(k)| (see A002321) is equal to n. A60434

a(n) = 12·n² - 8·n + 1. A185212