Properties of the Number 9816

Nine Thousand Eight Hundred Sixteen

Basics

Value: 9815 → 9816 → 9817

Parity: even

Prime: No

Previous Prime: 9811

Next Prime: 9817

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 409

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 409, 818

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001011000

Octal: 23130

Duodecimal: 5820

Hexadecimal: 2658

Square: 96353856

Square Root: 99.07572861200669

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

Twice-partitioned numbers where the first partition is strict and the latter partitions are constant. A279786

A list of equal temperaments (equal divisions of the octave) whose nearest scale steps are closer and closer approximations to the ratios of six simple musical tones: 8/7 5/4 4/3 3/2 8/5 7/4. A60526

Numbers k such that the fractional part of (1024/1000)^k is greater than 1-(1/k). A153680

Total number of parts in all partitions of n into odd parts. A67588

Expansion of e.g.f.: sqrt( -LambertW(x)*LambertW(-x)/x² ). A215880

Least positive integer k such that prime(k)-k, prime(k)+k, prime(k·n)-k·n, prime(k·n)+k·n, prime(k)+k·n and prime(k·n)+k are all prime. A259492

T(n,k)=Half the number of nXk binary arrays with no element equal to a strict majority of its knight-move neighbors. A183397

Number of n-node rooted trees of height at most 6. A34823

Number of perfect-powers·in the range 2ⁿ <= x < 2ⁿ⁺¹. A377435

Sum of n-th row of triangle in A082196. A82199