Properties of the Number 61751

Sixty-One Thousand Seven Hundred Fifty-One

Basics

Value: 61750 → 61751 → 61752

Parity: odd

Prime: Yes

Previous Prime: 61729

Next Prime: 61757

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 61751

Divisors: 1, 61751

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111000100110111

Octal: 170467

Duodecimal: 2B89B

Hexadecimal: f137

Square: 3813186001

Square Root: 248.49748489672888

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

Primes p with P(p-1) also prime, where P(.) is the partition function (A000041). A234569

Number of necklaces with n beads of unlabeled colors such that the numbers of beads per color are distinct. A261531

Denominators of continued fraction convergents to sqrt(615). A42181

Primes of the form (p²-1)/4-p where p are also primes. A165557

Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 605", based on the 5-celled von Neumann neighborhood. A273177

Primes p1 such that, with p2, p3, p4 the next three primes, p1·p2+p3·p4+p1, p1·p2+p3·p4+p2, p1·p2+p3·p4+p3 and p1·p2+p3·p4+p4 are all prime. A340126

Primes of the form 9x³ + x + 1. A114354

Numbers k such that k! is divisible by (k+1)³. A61751

Square array read by antidiagonals upwards: T(n,k) for integer k >= 0 is the n-th prime p such that p^{2·3^k} + p^{3^k} + 1 is prime. A344448

An example of a simple prime-generating algorithm similar to Rowland's (A106108) that is a particular instance of a more general algorithm (see comments). A141537