Properties of the Number 67272

Sixty-Seven Thousand Two Hundred Seventy-Two

Basics

Value: 67271 → 67272 → 67273

Parity: even

Prime: No

Previous Prime: 67271

Next Prime: 67273

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ³ × 3 × 2803

Divisors: 1, 2, 3, 4, 6, 8, 12, 24, 2803, 5606

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10000011011001000

Octal: 203310

Duodecimal: 32B20

Hexadecimal: 106c8

Square: 4525521984

Square Root: 259.3684637730655

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

Irregular table read by rows: T(n,k) is the number of k-gons, k>=2, among all distinct circles that can be constructed from a point on the origin and n equally spaced points on each of the +x,-x,+y,-y coordinates axes when each pair of points is connected by a circle and where the points lie at the ends of the circles' diameter. A362236

a(n)=∑_i=0..n |stirling1(n,i)|*2^2ⁱ. A59588

Number of n X 2 arrays of the minimum value of corresponding elements and their horizontal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..2 n X 2 array. A219846

Number of n X 3 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally. A232936

Number of (n+2) X (5+2) 0..1 arrays with no 3 X 3 subblock diagonal sum 0 and no antidiagonal sum 3 and no row sum 0 or 3 and no column sum 0 or 3. A258963

a(n) = 2·10^n-1 - 1. A67272

T(n,k)=Number of nXk 0..2 arrays with no element x(i,j) adjacent to value 2-x(i,j) horizontally, vertically or antidiagonally. A232941