Properties of the Number 1601

One Thousand Six Hundred One

Basics

Value: 1600 → 1601 → 1602

Parity: odd

Prime: Yes

Previous Prime: 1597

Next Prime: 1607

Digit Sum: 8

Digital Root: 8

Palindrome: No

Factorization: 1601

Divisors: 1, 1601

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 11001000001

Octal: 3101

Duodecimal: B15

Hexadecimal: 641

Square: 2563201

Square Root: 40.01249804748511

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 + 1. A2522

Primes of the form 2x² + 2xy + 17y². A139827

Primes of the form k² + 1. A2496

Primes of the form k² + k + 41. A5846

Primes whose binary representation is also the decimal representation of a prime. A65720

Number of strict integer partitions of n containing the sum of some subset of the parts. A variation of sum-full strict partitions. A364272

Number of (w,x,y) such that w,x,y are all in {0,...,n} and |w-x| = |x-y|. A212959

a(n) = 4·n² + 1. A53755

Number of forests with n unlabeled nodes. A5195

Largest prime factor of n² + 1. A14442