Properties of the Number 65600

Sixty-Five Thousand Six Hundred

Basics

Value: 65599 → 65600 → 65601

Parity: even

Prime: No

Previous Prime: 65599

Next Prime: 65609

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 ⁶ × 5 ² × 41

Divisors: 1, 2, 4, 5, 8, 10, 16, 20, 25, 32

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000001000000

Octal: 200100

Duodecimal: 31B68

Hexadecimal: 10040

Square: 4303360000

Square Root: 256.12496949731394

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) = n²*(n+1). A11379

Expansion of g.f.: (1+x)/(1-40·x). A170760

Triangle read by rows: row n is the first row of the matrix M[n]^n-1, where M[n] is the n X n tridiagonal matrix with main diagonal (1,4,4,...) and super- and subdiagonals (1,1,1,...). A124576

Number of pairs (p,q) of partitions such that q is a partition of n and p <= q (diagram containment). A297388

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

Numbers of the form m = 2ⁱ + 2^j, where i > j >= 0, such that m - 1 is prime. A239708

Sums of 2 distinct powers of 4. A38470

Sums of two powers of 4. A55236

Positions in A212200 where successive new numbers (see A212203) appear. A212204

a(n) = n⁴ + 4·n. A180354