Properties of the Number 96137

Ninety-Six Thousand One Hundred Thirty-Seven

Basics

Value: 96136 → 96137 → 96138

Parity: odd

Prime: Yes

Previous Prime: 96097

Next Prime: 96149

Digit Sum: 26

Digital Root: 8

Palindrome: No

Factorization: 96137

Divisors: 1, 96137

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10111011110001001

Octal: 273611

Duodecimal: 47775

Hexadecimal: 17789

Square: 9242322769

Square Root: 310.0596716762759

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(0)=1, a(n) = prime(n³). A55875

Primes of the form (n²+1)/26. A208292

Primes formed by concatenating p² with q, where p, q are consecutive primes. A258214

Consider the concatenation of n consecutive integers S, S+1, S+2, ..., S+n-1, written in base 2 and then converted to base 10; a(n) gives (in base 10) the first prime reached for any value of S, or -1 if a prime is never reached. A269710

Square array A(m,n) = number whose binary expansion is the concatenation of those of { m, m+1, ..., m+n }, with m, n >= 1, read by falling antidiagonals. A285806

Revert transform of (1 + 2x - x²)/(1 + 3x + 2x² + x³). A49131

Numbers k such that (41·10^k - 59)/9 is prime. A293827

Table read by rows: row n contains the sum of each nonempty subset of {1, 2, ..., n}. In each row, the sums are arranged in ascending order. A96137

a(n) = prime(1³) + prime(2³) + prime(3³) + ... + prime(n³). A109789

Number of (n+1)X(4+1) 0..3 arrays with nondecreasing sum of every two consecutive values in every row and column. A251970