Properties of the Number 60039

Sixty Thousand Thirty-Nine

Basics

Value: 60038 → 60039 → 60040

Parity: odd

Prime: No

Previous Prime: 60037

Next Prime: 60041

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 7 × 953

Divisors: 1, 3, 7, 9, 21, 63, 953, 2859, 6671, 8577

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110101010000111

Octal: 165207

Duodecimal: 2A8B3

Hexadecimal: ea87

Square: 3604681521

Square Root: 245.02856976279318

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

Partial sums of the central Lah numbers (A187535). A187536

T(n,k)=Number of nXk 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X(k+1) binary array having a sum of two, with rows and columns of the latter in lexicographically nondecreasing order. A227103

Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 35. A31713

Number of nX4 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X5 binary array having a sum of two, with rows and columns of the latter in lexicographically nondecreasing order. A227101

Number of nX5 0,1 arrays indicating 2X2 subblocks of some larger (n+1)X6 binary array having a sum of two, with rows and columns of the latter in lexicographically nondecreasing order. A227102

Triangle T(n,k) = 1 if k-th prime is a square mod the n-th prime, otherwise 0, for 1<=k<n. A60039

Rolling icosahedron footprints: number of 4Xn 0..11 arrays starting with 0 where 0..11 label vertices of an icosahedron and every array movement to a horizontal or antidiagonal neighbor moves along an icosahedral edge. A223324

Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7. A252205