Properties of the Number 36007

Thirty-Six Thousand Seven

Basics

Value: 36006 → 36007 → 36008

Parity: odd

Prime: Yes

Previous Prime: 35999

Next Prime: 36011

Digit Sum: 16

Digital Root: 7

Palindrome: No

Factorization: 36007

Divisors: 1, 36007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000110010100111

Octal: 106247

Duodecimal: 18A07

Hexadecimal: 8ca7

Square: 1296504049

Square Root: 189.75510533316356

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

Numbers k such that (3^k + 19^k)/22 is prime. A128075

Primes at which the difference pattern X424Y (X and Y >= 6) occurs in A001223. A52166

Primes p such that 2^p-1 and the p-th Fibonacci number have a common factor. Prime terms of A074776. A80050

Prime numbers ending in James Bond number ''007''. A193552

List of triples of strictly non-palindromic primes without an ordinary prime in between. A138358

Primes of the form 10·k² + 7. A195905

Primes containing the digit string "007" in their decimal representation. A386240

Sequence defined by the recurrence formula a(n+1)=sum(a(p)*a(n-p)+k,p=0..n)+l for n>=1, with here a(0)=1, a(1)=3, k=1 and l=-1. A176829

Number of partitions of n into parts not of the form 25k, 25k+8 or 25k-8. Also number of partitions with at most 7 parts of size 1 and differences between parts at distance 11 are greater than 1. A36007