Properties of the Number 65317

Sixty-Five Thousand Three Hundred Seventeen

Basics

Value: 65316 → 65317 → 65318

Parity: odd

Prime: No

Previous Prime: 65309

Next Prime: 65323

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 7 ² × 31 × 43

Divisors: 1, 7, 31, 43, 49, 217, 301, 1333, 1519, 2107

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 1111111100100101

Octal: 177445

Duodecimal: 31971

Hexadecimal: ff25

Square: 4266310489

Square Root: 255.57190768940157

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

T(n,k)=Number of nXk (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X(k+1) binary array with rows and columns of the latter in lexicographically nondecreasing order. A227025

Odd numbers k that can be factored to such a pair of coprime factors·and y that A347381(k) < min(A347381(x), A347381(y)). A347390

a(n) = 7*∑_k=0..n 6^k. A146884

Triangle read by rows: T(n,k) = (n+1,k)-th element of (M⁶-M)/5, where M is the infinite lower Pascal's triangle matrix, 1<=k<=n. A96040

Number of nX4 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X5 binary array with rows and columns of the latter in lexicographically nondecreasing order. A227023

Number of nX5 (0,1,2) arrays of permanents of 2X2 subblocks of some (n+1)X6 binary array with rows and columns of the latter in lexicographically nondecreasing order. A227024

Largest prime divisor of the sum of the n-th primorial and the (n+1)-st prime. A65317

Number of Gnutella users reachable with given connections and hops. A67066