Properties of the Number 7007

Seven Thousand Seven

Basics

Value: 7006 → 7007 → 7008

Parity: odd

Prime: No

Previous Prime: 7001

Next Prime: 7013

Digit Sum: 14

Digital Root: 5

Palindrome: Yes

Factorization: 7 ² × 11 × 13

Divisors: 1, 7, 11, 13, 49, 77, 91, 143, 539, 637

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 1101101011111

Octal: 15537

Duodecimal: 407B

Hexadecimal: 1b5f

Square: 49098049

Square Root: 83.70782520170978

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

Triangle read by rows: T(k,s) = ((2·k+1)/(2·s+1))*binomial(k+s,2·s), 0 <= s <= k. A111125

Triangle read by rows: T(n, k) is the number of diagonal dissections of a convex n-gon into k+1 regions. A33282

Number of integer partitions of n with an alternating permutation covering an initial interval of positive integers. A345163

Triangle obtained by adding a leading diagonal 1,0,0,0,... to A033282. A86810

Triangle read by rows: T(n,k) is the number of Schroeder paths of semilength n containing exactly k peaks but no peaks at level one (n >= 1; 0 <= k <= n-1). A126216

a(n) = n*(n+1)*(n+2)*(n+3)*(3·n+2)/120. A51836

1/256 of tenth unsigned column of triangle A053120 (T-Chebyshev, rising powers, zeros omitted). A54333

Number T(n,k) of length 2n words such that all letters of the k-ary alphabet occur at least once and are introduced in ascending order and which can be built by repeatedly inserting doublets into the initially empty word; triangle T(n,k), n>=0, 0<=k<=n, read by rows. A256117

Numbers whose set of base 10 digits is {0,7}. A204094

Palindromic and divisible by 7. A45642