Properties of the Number 60801

Sixty Thousand Eight Hundred One

Basics

Value: 60800 → 60801 → 60802

Parity: odd

Prime: No

Previous Prime: 60793

Next Prime: 60811

Digit Sum: 15

Digital Root: 6

Palindrome: No

Factorization: 3 × 13 × 1559

Divisors: 1, 3, 13, 39, 1559, 4677, 20267, 60801

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1110110110000001

Octal: 166601

Duodecimal: 2B229

Hexadecimal: ed81

Square: 3696761601

Square Root: 246.5785878781854

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

Diagonal in array of n-gonal numbers A081422. A81437

Number of pairs with two different elements which can be obtained by selecting unique elements from two sets with n+1 and n² elements respectively and n common elements. A85490

a(n) = [xⁿ] ∏_k>=1 ((1 - x^5·k)/(1 - x^k))ⁿ. A296163

a(n) = 38·n² + 1. A158593

Expansion of (η(q)η(q¹⁰)/(η(q²)η(q⁵)))⁶ in powers of q. A284629

Numbers k such that φ(σ(k)+k) = σ(k). A68366

Number of lower triangular n X n arrays colored with integers 0 upwards introduced in row major order, with no element equal to any diagonal or antidiagonal neighbor, and containing the value n(n+1)/2-2. A211958

Convolution of A001950 with itself. A23667

a(n) is the number of solid (3D) partitions of n with 2 layers and second layer a plane partition of 3. A381265

Invert transform of odd numbers: a(n) = ∑_k=1..n (2·k+1)*a(n-k), a(0)=1. A60801