Properties of the Number 65602

Sixty-Five Thousand Six Hundred Two

Basics

Value: 65601 → 65602 → 65603

Parity: even

Prime: No

Previous Prime: 65599

Next Prime: 65609

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 × 32801

Divisors: 1, 2, 32801, 65602

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000000001000010

Octal: 200102

Duodecimal: 31B6A

Hexadecimal: 10042

Square: 4303622404

Square Root: 256.1288738116029

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(0) = 1; for n > 0, a(n) = 41·n² + 2. A206399

a(n) = number of length-n binary strings with A006697(n) distinct substrings. A134457

Total number of zeroless polydivisible numbers in base n. A324020

Number of 3 X n 0-1 matrices avoiding simultaneously the right angled numbered polyomino patterns (ranpp) (00;1), (01;0), (10;0) and (01;1). A100315

Number of integer partitions of the n-th even number or the n-th odd number using predecessors of prime numbers. A280962

The (3ⁿ)-th composite number. A65605

a(n) = ∑_k=0..2·n binomial(2·n, k)*binomial(3·n, 2·n + 2·k). A115750

a(n) = ∑_k=1..n floor((n/k) * floor((n/k) * floor(n/k))). A24922

If n = Sum 2^e(k), then a(n) = Sum 2^a(e(k)), with a(0) = 1. A381957

Triangle T(n,k) giving number of hill-free Dyck paths of length 2n and having height of first peak equal to k. A65602