Properties of the Number 39168

Thirty-Nine Thousand One Hundred Sixty-Eight

Basics

Value: 39167 → 39168 → 39169

Parity: even

Prime: No

Previous Prime: 39163

Next Prime: 39181

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ⁸ × 3 ² × 17

Divisors: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1001100100000000

Octal: 114400

Duodecimal: 1A800

Hexadecimal: 9900

Square: 1534132224

Square Root: 197.9090700296477

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

Sum of all the parts in the partitions of 4n into 4 parts. A238328

T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order (unlabelled 6-colorings with no clashing color pairs). A233256

Triangle of coefficients of Euler polynomials 2ⁿ*E_n(x) (exponents in increasing order). A4174

T(n,k)=Number of nXk 0..5 arrays with no element x(i,j) adjacent to itself or value 5-x(i,j) horizontally, diagonally or antidiagonally, top left element zero, and 1 appearing before 2 3 and 4, and 2 appearing before 3 in row major order (unlabelled 6-colorings with no clashing color pairs). A233174

a(n) = 4·a(n-1) + 4·a(n-2), n>2, a(0)=1, a(1)=3, a(2)=15. A155117

Composites whose prime factorization in base 5 is an anagram of the number in base 5. A260049

Number of non-congruent solutions to x² + y² + z² + t² == 1 (mod n). A208895

T(n,k)=Number of nXk 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, diagonally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabeled 8-colorings with no clashing color pairs). A233168

T(n,k)=Number of nXk 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs). A233202

Number of subsets of {2...n} containing every element of {2...n} whose prime indices all belong to the subset. A324737