Properties of the Number 65601

Sixty-Five Thousand Six Hundred One

Basics

Value: 65600 → 65601 → 65602

Parity: odd

Prime: No

Previous Prime: 65599

Next Prime: 65609

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 37 × 197

Divisors: 1, 3, 9, 37, 111, 197, 333, 591, 1773, 7289

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 10000000001000001

Octal: 200101

Duodecimal: 31B69

Hexadecimal: 10041

Square: 4303491201

Square Root: 256.12692166189794

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

Weak Goodstein sequence beginning with 266. A265034

a(n) = n³ + n² + 1. A98547

The positions i where A163355(i) = i, that is, the fixed points of permutation A163355. A163901

Consider the Diophantine equation x³ + y³ = z³ + 1 (1 < x < y < z) or 'Fermat near misses'. Arrange solutions by increasing values of z (see A050791). Sequence gives values of x. A50792

Numbers k such that A163511(k) is a fifth power. A365802

a(n) = ∑_d∣n d^d+n. A308594

Ramanujan's α-series. A272853

Bitmaps of king + rook vs. king checkmate patterns on a standard 8 X 8 board. A362950

Number of Dyck paths of length 2n with exactly 1 hill. A65601

Square table defined by T(n,k) = ∑_{m=k(k+1)/2..k(k+1)/2+k} [x^m] S(x)ⁿ for n>=1, k>=0, where S(x) = ∑_n>=0 xⁿ⁽ⁿ⁺¹/2), as read by antidiagonals. A162430