Properties of the Number 1597

One Thousand Five Hundred Ninety-Seven

Basics

Value: 1596 → 1597 → 1598

Parity: odd

Prime: Yes

Previous Prime: 1583

Next Prime: 1601

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 1597

Divisors: 1, 1597

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11000111101

Octal: 3075

Duodecimal: B11

Hexadecimal: 63d

Square: 2550409

Square Root: 39.96248240537617

Classification

Fibonacci: Yes

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: Yes

Friedman Number: No

Fermat Number: No

Cullen Number: No

OEIS Sequences

Fibonacci numbers: F(n) = F(n-1) + F(n-2) with F(0) = 0 and F(1) = 1. A45

a(n) = ∑_k=0..n p(k) where p(k) = number of partitions of k (A000041). A70

a(n) = 3·a(n-1) - a(n-2) for n >= 2, with a(0) = a(1) = 1. A1519

Number of palindromic partitions of n. A25065

Prime Fibonacci numbers. A5478

a(0) = 1, a(1) = 1, and a(n) = 4·a(n-1) + a(n-2) for n >= 2. A15448

Number of partitions of n having a non-integer median. A307683

a(n+2) = -a(n+1) + a(n) (signed Fibonacci numbers) with a(-2) = a(-1) = 1; or Fibonacci numbers (A000045) extended to negative indices. A39834

Markoff (or Markov) numbers: union of positive integers x, y, z satisfying x² + y² + z² = 3·x*y·z. A2559

Primes of the form 2·k² + 29. A7641