Properties of the Number 66144

Sixty-Six Thousand One Hundred Forty-Four

Basics

Value: 66143 → 66144 → 66145

Parity: even

Prime: No

Previous Prime: 66137

Next Prime: 66161

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁵ × 3 × 13 × 53

Divisors: 1, 2, 3, 4, 6, 8, 12, 13, 16, 24

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 10000001001100000

Octal: 201140

Duodecimal: 32340

Hexadecimal: 10260

Square: 4375028736

Square Root: 257.18475849085615

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..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254189

T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically. A253801

4·a(n) is the maximum possible determinant of a 3 X 3 matrix whose entries are 9 consecutive primes starting with prime(n). A340923

Number of (s(0), s(1), ..., s(n)) such that 0 < s(i) < 6 and |s(i) - s(i-1)| <= 1 for i = 1,2,...,n, s(0) = 2, s(n) = 5. A94309

Numbers k such that k and k³ are sums of two twin primes. A213811

Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically. A253794

a(n) = 81·n² - 69·n + 24. A304616

Sum{T(k,k-1)}, k = 1,2,...,n, where T is the array in A026148. A26163

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally and vertically. A253797

Number of (n+2)X(4+2) 0..1 arrays with every 3X3 subblock diagonal maximum plus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally. A254185