Properties of the Number 10001

Ten Thousand One

Basics

Value: 10000 → 10001 → 10002

Parity: odd

Prime: No

Previous Prime: 9973

Next Prime: 10007

Digit Sum: 2

Digital Root: 2

Palindrome: Yes

Factorization: 73 × 137

Divisors: 1, 73, 137, 10001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

8509 Try Today's Challenge

Representations

Binary: 10011100010001

Octal: 23421

Duodecimal: 5955

Hexadecimal: 2711

Square: 100020001

Square Root: 100.00499987500625

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

The binary numbers (or binary words, or binary vectors, or binary expansion of n): numbers written in base 2. A7088

a(0)=1; a(n) = 10ⁿ + 1, n >= 1. A533

Representation of n in base of Fibonacci numbers (the Zeckendorf representation of n). Also, binary words starting with 1 not containing 11, with the word 0 added. A14417

Primes written in base 2. A4676

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

Numbers whose square is a palindrome. A2778

Sums of two powers of 10. A52216

a(n) is the negabinary expansion of n, that is, the expansion of n in base -2. A39724

a(n) = 10ⁿ + 1. A62397

Binary vectors not containing three consecutive 1's; or, representation of n in the tribonacci base. A278038