Properties of the Number 4097

Four Thousand Ninety-Seven

Basics

Value: 4096 → 4097 → 4098

Parity: odd

Prime: No

Previous Prime: 4093

Next Prime: 4099

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 17 × 241

Divisors: 1, 17, 241, 4097

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 1000000000001

Octal: 10001

Duodecimal: 2455

Hexadecimal: 1001

Square: 16785409

Square Root: 64.00781202322104

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

Expansion of ∏_{m >= 1} (1 + x^m); number of partitions of n into distinct parts; number of partitions of n into odd parts. A9

a(n) = 2ⁿ + 1. A51

a(n) = 4ⁿ + 1. A52539

Numbers that are the sum of 2 positive 4th powers. A3336

a(n) = 4·n² + 1. A53755

a(n) = (n-1)*2ⁿ + 1. A337

Jacobsthal-Lucas numbers. A14551

Number of ways to partition 2n+1 into distinct positive integers. A78408

a(0) = 1; for n>0, a(n) = 2ⁿ + 1. A83318

a(n) = 8ⁿ + 1. A62395