Properties of the Number 7713

Seven Thousand Seven Hundred Thirteen

Basics

Value: 7712 → 7713 → 7714

Parity: odd

Prime: No

Previous Prime: 7703

Next Prime: 7717

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 857

Divisors: 1, 3, 9, 857, 2571, 7713

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111000100001

Octal: 17041

Duodecimal: 4569

Hexadecimal: 1e21

Square: 59490369

Square Root: 87.82368700982668

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

Numbers that are the sum of 12 positive 7th powers. A3379

Numbers k such that 4·k-1, 8·k-1 and 16·k-1 are all primes. A101790

Expansion of e.g.f. (1/x) * Series_Reversion( x·exp(-x)/(1 + x)² ). A377829

Triangular matrix, read by rows, where row k is formed from the first differences of row (k-1) of its matrix square, with an appended '1' for the main diagonal. A102225

a(n) = A000031(n) - A001037(n). A66656

Numbers k such that σ(φ(k))-φ(σ(k)) is nonzero and divisible by φ(k), that is A065395(k)/A000010(k) is a nonzero integer. A92587

Number of subsets (up to cyclic shifts) of the n-th roots of 1 with zero sum. A164896

a(n) = n² + a(n-1), with a(1)=0. A168559

Number of compositions of n that are proper powers of Lyndon words. A298971

Total number of zeroless polydivisible numbers in base n. A324020