Properties of the Number 66739

Sixty-Six Thousand Seven Hundred Thirty-Nine

Basics

Value: 66738 → 66739 → 66740

Parity: odd

Prime: Yes

Previous Prime: 66733

Next Prime: 66749

Digit Sum: 31

Digital Root: 4

Palindrome: No

Factorization: 66739

Divisors: 1, 66739

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000010010110011

Octal: 202263

Duodecimal: 32757

Hexadecimal: 104b3

Square: 4454094121

Square Root: 258.33892467067363

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

Unique terms in sequence A210144. A214196

Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252302

Primes which contain the fax number of the beast (667). A321001

Number of partitions with at most one part divisible by 5. A39905

Number of representations of n as a sum of products of positive integers. 1 is not allowed as a factor, unless it is the only factor. Representations which differ only in the order of terms or factors are considered equivalent. A66739

T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7. A252305