Properties of the Number 9817

Nine Thousand Eight Hundred Seventeen

Basics

Value: 9816 → 9817 → 9818

Parity: odd

Prime: Yes

Previous Prime: 9811

Next Prime: 9829

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 9817

Divisors: 1, 9817

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011001011001

Octal: 23131

Duodecimal: 5821

Hexadecimal: 2659

Square: 96373489

Square Root: 99.08077512817509

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

a(n) = floor(n*(n-1)*(n-2)/4). A11886

Indices of zeros of the sequence u(n)=abs(u(n-1)-gcd(u(n-1),n-1)), u(1)=1. A186253

Primes of the form n² + 16. A243451

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, vertical, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array. A219802

Numbers n such that n, n+1 and n+2 are 1,2,3-almost primes. A112998

Numbers k such that k, k+1, k+2 and k+3 are 1,2,3,4-almost primes. A113000

Denominators of lower primes-only best approximates (POBAs) to π; see Comments. A265809

Denominators of primes-only best approximates (POBAs) to π; see Comments. A265813

Primes in which the digit string can be partitioned into three parts such that the sum of the first two is equal to the third, and the second part is nonzero. A88291

Number of doubletons in all partitions of n. By a doubleton in a partition we mean an occurrence of a part exactly twice (the partition [4,(3,3),2,2,2,(1,1)] has two doubletons, shown between parentheses). A116646