Properties of the Number 64593

Sixty-Four Thousand Five Hundred Ninety-Three

Basics

Value: 64592 → 64593 → 64594

Parity: odd

Prime: No

Previous Prime: 64591

Next Prime: 64601

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7177

Divisors: 1, 3, 9, 7177, 21531, 64593

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111110001010001

Octal: 176121

Duodecimal: 31469

Hexadecimal: fc51

Square: 4172255649

Square Root: 254.15152960389594

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 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317611

Triangle read by rows: T(n,k) = number of collections of up to k subsets of [n] covering [n], with [0]={}; n>=0, k=0..2ⁿ. A381683

Number of (w,x,y,z) with all terms in {0,...,n} and w=max{w,x,y,z}-2·min{w,x,y,z}. A212745

a(0) = 0, and for n > 0, (a(n)) gives the indices n for which d(n) < d(k) for k < n, where d is the difference sequence of (cos k + sin k). A299640

Number of nX4 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317607

Number of nX7 0..1 arrays with every element unequal to 0, 1, 2, 4, 5, 6, 7 or 8 king-move adjacent elements, with upper left element zero. A317610

a(n) = a(n-1) + a(n - 1 minus the number of terms of a(k) == (mod 5) so far). A60732

Nonunitary triply perfect numbers: the sum of the nonunitary divisors of n is 3n; i.e., σ(n) - usigma(n) = 3n. A64593