Properties of the Number 70372

Seventy Thousand Three Hundred Seventy-Two

Basics

Value: 70371 → 70372 → 70373

Parity: even

Prime: No

Previous Prime: 70351

Next Prime: 70373

Digit Sum: 19

Digital Root: 1

Palindrome: No

Factorization: 2 ² × 73 × 241

Divisors: 1, 2, 4, 73, 146, 241, 292, 482, 964, 17593

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

4823 Try Today's Challenge

Representations

Binary: 10001001011100100

Octal: 211344

Duodecimal: 34884

Hexadecimal: 112e4

Square: 4952218384

Square Root: 265.2772134956186

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

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252105

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically. A253740

a(n) is the number of divisors of n! with exactly n prime factors (counted with multiplicity). A393241

Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252098

Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 3 4 6 or 7. A252104

Number of (n+2)X(1+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically. A253733

Number of (n+2)X(6+2) 0..1 arrays with every 2X2 and 3X3 subblock diagonal sum minus antidiagonal sum unequal to its neighbors horizontally and vertically. A253738

a(n) = 5ⁿ mod 18. A70372