Properties of the Number 9791

Nine Thousand Seven Hundred Ninety-One

Basics

Value: 9790 → 9791 → 9792

Parity: odd

Prime: Yes

Previous Prime: 9787

Next Prime: 9803

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 9791

Divisors: 1, 9791

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011000111111

Octal: 23077

Duodecimal: 57BB

Hexadecimal: 263f

Square: 95863681

Square Root: 98.94948206029176

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

Consider the Diophantine equation x³ + y³ = z³ + 1 (1 < x < y < z) or 'Fermat near misses'. Sequence gives values of z in monotonic increasing order. A50791

Expansion of (1 - x)/(1 - 2·x + 3·x²) in powers of x. A87455

The first of three consecutive primes the sum of which is equal to the sum of three consecutive squares. A298223

Triangle read by rows: the almost-Riordan array ( 1/(1-x) | 2/((1-x)*(1+x+sqrt(5·x²-6·x+1))), (1-3·x-sqrt(5·x²-6·x+1))/(2x) ). A373746

The number of decompositions of n into different parts relatively prime to n. A36998

Primes having only {1, 7, 9} as digits. A260893

Prime number spiral (clockwise, West spoke). A54570

Number of basis partitions (or basic partitions) of n. A66447

a(n) = F(n+1)² + F(n+1)*F(n) - F(n)², where F = A000045. A236428

Number of compositions of n with distinct circular differences up to sign. A325553