Properties of the Number 65051

Sixty-Five Thousand Fifty-One

Basics

Value: 65050 → 65051 → 65052

Parity: odd

Prime: No

Previous Prime: 65033

Next Prime: 65053

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 7 × 9293

Divisors: 1, 7, 9293, 65051

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111111000011011

Octal: 177033

Duodecimal: 3178B

Hexadecimal: fe1b

Square: 4231632601

Square Root: 255.05097529709624

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(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n+1-k), where k = [ (n+1)/2 ], p = A000040 = the primes. A24697

a(n) = p(1)p(n) + p(2)p(n-1) + ... + p(k)p(n-k+1), where k = [ n/2 ], p = A000040, the primes. A25129

Triangle read by rows: matrix cube of the Stirling2 triangle A008277. A39811

a(n) is the least integer k such that 1/(∑_j=1..n 1/φ(k·j)) is an integer. A341810

Expansion of e.g.f. (exp(exp(exp(x)-1)-1)-1)² / 2. A351513

a(n) is the least integer k such that n/(∑_j=1..n 1/φ(k·j)) is an integer. A341813

a(n) = 4·a(n-1) -5·a(n-2) +2·a(n-3) +2·a(n-4) for a(0) = a(1) = 0, a(2) = 1, a(3) = 4 for n >= 4. A373358

Total number of 321 patterns in all heapable permutations of length n. A392533

Expansion of e.g.f. arctan(sin(x) + log(x+1)). A12890

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1100-1111-0100 pattern in any orientation. A146713