Properties of the Number 72246

Seventy-Two Thousand Two Hundred Forty-Six

Basics

Value: 72245 → 72246 → 72247

Parity: even

Prime: No

Previous Prime: 72229

Next Prime: 72251

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 × 3 × 12041

Divisors: 1, 2, 3, 6, 12041, 24082, 36123, 72246

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10001101000110110

Octal: 215066

Duodecimal: 35986

Hexadecimal: 11a36

Square: 5219484516

Square Root: 268.78616035800655

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

Numbers n such that 13ⁿ is the highest power of 13 dividing A240751(n). A286007

G.f. A(x) satisfies: A(x) = x + x³ * exp(A(x) + A(x²)/2 + A(x³)/3 + A(x⁴)/4 + ...). A346020

Number of nondecreasing arrangements of n numbers x(i) in -(n+3)..(n+3) with the sum of sign(x(i))*2^|x(i)| zero. A187984

Number of (undirected) cycles in the n-triangular honeycomb rook graph. A289896

T(n,k) = number of nondecreasing arrangements of n numbers x(i) in -(n+k-2)..(n+k-2) with the sum of sign(x(i))*2^|x(i)| zero. A187988

Numbers which are simultaneously the number of partitions of some k and the number of distinct partitions of some m. A72246

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252136

Number of (n+2)X(5+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 or 4. A252072

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 7. A252198

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 3 5 6 or 8. A252470