Properties of the Number 9823

Nine Thousand Eight Hundred Twenty-Three

Basics

Value: 9822 → 9823 → 9824

Parity: odd

Prime: No

Previous Prime: 9817

Next Prime: 9829

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 11 × 19 × 47

Divisors: 1, 11, 19, 47, 209, 517, 893, 9823

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001011111

Octal: 23137

Duodecimal: 5827

Hexadecimal: 265f

Square: 96491329

Square Root: 99.11104882907858

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

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

Number of centered trees with n nodes. A676

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

Odd interprimes divisible by 19. A126231

Difference between 2ⁿ and the next smaller or equal power of 3. A63005

Number of partitions of n such that the multiplicity of the number of parts is a part. A240499

Number of finite even-length multisets of positive integers whose right half sums to n. A360956

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) = 81·n² + 2·n. A177099

a(n) = A273059(4n+1). A275917