Properties of the Number 16752

Sixteen Thousand Seven Hundred Fifty-Two

Basics

Value: 16751 → 16752 → 16753

Parity: even

Prime: No

Previous Prime: 16747

Next Prime: 16759

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 349

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100000101110000

Octal: 40560

Duodecimal: 9840

Hexadecimal: 4170

Square: 280629504

Square Root: 129.4295174989075

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

The number k(GL(n,q)) of conjugacy classes in GL(n,q), q=7. A49316

T(n,k)=Number of nXnXn triangular 0..k arrays with no element lying outside the (possibly reversed) range delimited by its sw and se neighbors, and every horizontal row having the same average value. A214540

Triangle T, read by rows, that satisfies: T(n,k) = [T²](n-1,k) for n>k+1>=1, with T(n,n) = 1 and T(n+1,n) = n+1 for n>=0, where T² is the matrix square of T. A109152

a(n) = n!*∑_i=0..n-1 (n-i)*(-2)ⁱ/(i+1)!. A37256

Column 2 of triangle A109152. A109155

a(n) = sum of squares of first n odd primes. A133547

Di-Boustrophedon transform of all 1's sequence: Fill in an array by diagonals alternating in the 'up' and 'down' directions. Each diagonal starts with a 1. When going in the 'up' direction the next element is the sum of the previous element of the diagonal and the previous two elements of the row the new element is in. When going in the 'down' direction the next element is the sum of the previous element of the diagonal and the previous two elements of the column the new element is in. The final element of the n-th diagonal is a(n). A62704

Number of length n primitive (=aperiodic or period n) 7-ary words which are earlier in lexicographic order than any other word derived by cyclic shifts of the alphabet. A320072

Growth function of an infinite cubic graph (number of nodes at distance <=n from fixed node). A38621

Number of objects generated by the Combstruct grammar defined in the Maple program. See the link for the grammar specification. A52815