Properties of the Number 13001

Thirteen Thousand One

Basics

Value: 13000 → 13001 → 13002

Parity: odd

Prime: Yes

Previous Prime: 12983

Next Prime: 13003

Digit Sum: 5

Digital Root: 5

Palindrome: No

Factorization: 13001

Divisors: 1, 13001

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11001011001001

Octal: 31311

Duodecimal: 7635

Hexadecimal: 32c9

Square: 169026001

Square Root: 114.02192771568107

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

Prime quadruples: numbers k such that k, k+2, k+6, k+8 are all prime. A7530

Primes of the form k⁴ + 29·k² + 101. A272075

Consider a number of k digits n = d_k*10^k-1 + d_k-1*10^k-2 + … + d₂*10 + d₁. Sequence lists the numbers n such that σ(n) - n = ∑_i=1..k-1{σ(∑_j=1..i{d_j*10^j-1}) - ∑_j=1..i{d_j*10^j-1}} (see example below). A240894

Primes whose sum of digits is 5. A62341

Primes with arithmetic mean of digits = 1 (sum of digits = number of digits). A69710

Primes p for which the period of reciprocal = (p-1)/8. A56213

Centered 40-gonal numbers. A195317

Primes having only {0, 1, 3} as digits. A260044

Start of a string of exactly 2 consecutive (but disjoint) pairs of twin primes. A35790

Expansion of (1-x)*(1+x)/(1-2·x-x²+x³). A52534