Properties of the Number 8007

Eight Thousand Seven

Basics

Value: 8006 → 8007 → 8008

Parity: odd

Prime: No

Previous Prime: 7993

Next Prime: 8009

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 17 × 157

Divisors: 1, 3, 17, 51, 157, 471, 2669, 8007

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1111101000111

Octal: 17507

Duodecimal: 4773

Hexadecimal: 1f47

Square: 64112049

Square Root: 89.48184173339304

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

Integers k such that 10^k+21 is prime. A108050

Numbers k such that 2^k+1 == 1 (mod k). A187787

Numbers k such that 9·2^k - 1 is prime. A2236

Least nontrivial multiple of the n-th prime beginning with 8. A78292

T(n,k)=Number of (n+1)X(k+1) arrays of permutations of 0..(n+1)*(k+1)-1 with each element having directed index change 0,0 0,1 1,0 -2,-1 or -1,-2. A264172

4-step Fibonacci sequence starting with 1,0,1,0. A251656

Expansion of g.f. A(x) = ∑_n=-oo..+oo xⁿ * (i + xⁿ)^2·n, where i² = -1. A363569

a(n) = n³ + 7. A84377

Numbers k such that k⁴ contains a pandigital substring. A115934

Numbers of the form 86+p² (where p is a prime). A138692