Properties of the Number 9713

Nine Thousand Seven Hundred Thirteen

Basics

Value: 9712 → 9713 → 9714

Parity: odd

Prime: No

Previous Prime: 9697

Next Prime: 9719

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 11 × 883

Divisors: 1, 11, 883, 9713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010111110001

Octal: 22761

Duodecimal: 5755

Hexadecimal: 25f1

Square: 94342369

Square Root: 98.55455342093535

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 whose mean is a part. A237984

Generalized ballot numbers (first differences of Motzkin numbers). A2026

a(0) = 0; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that the concatenation of any two consecutive digits in the sequence is a prime. A152136

a(1) = 1; thereafter a(n) is always the smallest integer > a(n-1) not leading to a contradiction, such that the concatenation of any two consecutive digits in the sequence is a prime. A152607

Numbers that are the product of two distinct primes a and b, such that a³+b³ is the average of a twin prime pair. A176876

Expansion of (-2 +x² +x -x·sqrt(1-2·x-3·x²))/(-1 +x -sqrt(1-2·x-3·x²)). A244884

Numbers that have decimal expansion c(1)c(2)...c(n) with distinct digits that satisfy c(1) <> 0, c(1) is the largest digit, and for each i in 1..n there is j in 0..2 such that c(i) == 3·c(i-1) + j (mod 10) (with c(0): = c(n)). A336661

Molien series for group of order 4608 acting on joint weight enumerators of a pair of binary doubly-even self-dual codes. A97870

Expansion of (1-x)*c(x/(1+x)), where c(x) is the g.f. of the Catalan numbers (A000108). A105695

Where records occur in A111390. A114111