Properties of the Number 10009

Ten Thousand Nine

Basics

Value: 10008 → 10009 → 10010

Parity: odd

Prime: Yes

Previous Prime: 10007

Next Prime: 10037

Digit Sum: 10

Digital Root: 1

Palindrome: No

Factorization: 10009

Divisors: 1, 10009

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10011100011001

Octal: 23431

Duodecimal: 5961

Hexadecimal: 2719

Square: 100180081

Square Root: 100.04498987955368

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) = 5·a(n-1) - a(n-2), with a(1)=1, a(2)=4. A4253

Primes having only {0, 1, 9} as digits. A199329

Number of partitions of n with zero crank. A64410

Array T(k,n) read by antidiagonals. G.f.: x(1-x)/(1-kx+x²), k>1. A94954

Primes all of whose internal digits (if any) are 0. A69675

Balanced primes of order nine. A96701

Numbers in which 0 outnumbers all other digits together. A292730

Rectangular array: A(n,k) = ∑_j=0..k (-1)^floor(j/2)*binomial(k-floor((j+1)/2), floor(j/2))*(-n)^k-j, n >= 1, k >= 0, read by antidiagonals. A299045

Primes of form n² + 10000. A256838

a(n) = A019565(n) - 1. A339809