Properties of the Number 9605

Nine Thousand Six Hundred Five

Basics

Value: 9604 → 9605 → 9606

Parity: odd

Prime: No

Previous Prime: 9601

Next Prime: 9613

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 5 × 17 × 113

Divisors: 1, 5, 17, 85, 113, 565, 1921, 9605

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10010110000101

Octal: 22605

Duodecimal: 5685

Hexadecimal: 2585

Square: 92256025

Square Root: 98.00510190801293

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

Triangle read by rows: T(n, k) is the Sheffer triangle ((1 - 3·x)^-1/3, (-1/3)*log(1 - 3·x)). A generalized Stirling1 triangle. A286718

Numbers k such that the concatenation of k with k-4 gives a square. A115432

a(n) = (3·n+1)*(4·n+1). A33577

a(n) = ∑_k=0..n C(n,k)²*C(n-k,k), where C(n,k) denotes the binomial coefficient n!/(k!*(n-k)!). A275027

Composite numbers k of the form 4u+1 for which the odd part of φ(k) divides k-1. A339870

Odd composite numbers k such that A053575(k) [the odd part of φ] divides k-1. A339880

Numbers n such that n² can be obtained from n by inserting internal (but not necessarily contiguous) digits. A46851

Numbers m such that m^k does not divide the denominator of the m-th generalized harmonic number H(m,k) nor the denominator of the m-th alternating generalized harmonic number H'(m,k), for k = 6. A128676

Numbers of the form m² + 1 that can be expressed in more than one way as j² + k² with j > k > 1. A299708

Numbers that are the sum of ten fourth powers in exactly nine ways. A345861