Properties of the Number 7006

Seven Thousand Six

Basics

Value: 7005 → 7006 → 7007

Parity: even

Prime: No

Previous Prime: 7001

Next Prime: 7013

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 × 31 × 113

Divisors: 1, 2, 31, 62, 113, 226, 3503, 7006

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1101101011110

Octal: 15536

Duodecimal: 407A

Hexadecimal: 1b5e

Square: 49084036

Square Root: 83.70185183136631

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

17-gonal (or heptadecagonal) numbers: a(n) = n*(15·n-13)/2. A51869

T(n,k)=Number of nXk 0..1 arrays with no element equal to more than two of its horizontal, diagonal or antidiagonal neighbors, with the exception of exactly two elements, and with new values introduced in order 0 sequentially upwards. A281563

Expansion of Product(1+q^m)^m(m-1/2); m=1..inf. A27999

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3 or 6 king-move adjacent elements, with upper left element zero. A298287

Numbers k such that k divides A243071(k). A364497

Number of partitions of n such that the multiplicity of 2*(number of parts) is a part. A240500

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 1, 2, 3, 6 or 8 king-move adjacent elements, with upper left element zero. A299359

a(n) = floor(n*(n-1)*(n-2)/13). A11895

Convolution of natural numbers >= 2 and natural numbers >= 3. A23545

Number of partitions of n with equal number of parts congruent to each of 0, 2 and 3 (mod 4). A46768