Properties of the Number 71964

Seventy-One Thousand Nine Hundred Sixty-Four

Basics

Value: 71963 → 71964 → 71965

Parity: even

Prime: No

Previous Prime: 71963

Next Prime: 71971

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 ² × 3 ² × 1999

Divisors: 1, 2, 3, 4, 6, 9, 12, 18, 36, 1999

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2730 Try Today's Challenge

Representations

Binary: 10001100100011100

Octal: 214434

Duodecimal: 35790

Hexadecimal: 1191c

Square: 5178817296

Square Root: 268.26106687329786

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

Number of (n+2) X 6 binary arrays avoiding patterns 001 and 110 in rows and columns. A202048

Number of (n+2) X 9 binary arrays avoiding patterns 001 and 110 in rows and columns. A202051

Number of (n+2) X (5+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7. A252381

T(n,k)=Number of (n+2)X(k+2) binary arrays avoiding patterns 001 and 110 in rows and columns. A202052

Numbers k such that k = Gpf(k) * Gpf(φ(k)) where Gpf(k) = A006530(k) is the greatest prime factor of k. A71964