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Properties of the Number 62720

Sixty-Two Thousand Seven Hundred Twenty

Basics

Value: 62719 → 62720 → 62721

Parity: even

Prime: No

Previous Prime: 62701

Next Prime: 62723

Digit Sum: 17

Digital Root: 8

Palindrome: No

Factorization: 2 8 × 5 × 7 2

Divisors: 1, 2, 4, 5, 7, 8, 10, 14, 16, 20

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 1111010100000000

Octal: 172400

Duodecimal: 30368

Hexadecimal: f500

Square: 3933798400

Square Root: 250.43961347997646

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 matrices with each 3X3 subblock having the same population. A224651
Number of genus 2, degree n, simply ramified covers of an elliptic curve. A170991
T(n,k)=Number of nXk 0..7 arrays with no element x(i,j) adjacent to itself or value 7-x(i,j) horizontally, antidiagonally or vertically, top left element zero, and 1 appearing before 2 3 4 5 and 6, 2 appearing before 3 4 and 5, and 3 appearing before 4 in row major order (unlabelled 8-colorings with no clashing color pairs). A233202
a(n) = σ(σ(...(σ(n))...)) / n, where σ (A000203) is iterated until a multiple of n is reached. A19295
Triangle T(n,k) = Cn(k)/2k*(k-1/2) where Cn(k) = number of k-colored labeled graphs with n nodes (n >= 1, 1 <= k <= n). A58875
McKay-Thompson series of class 16C for the Monster group with a(0) = 4. A214035
Expansion of (1/q) * φ(-q) * φ(q4) / (φ(q) * ψ(q8)) in powers of q where φ(), ψ() are Ramanujan θ functions. A215346
McKay-Thompson series of class 16C for the Monster group with a(0) = 2. A176143
Number of permutations of {1,2,...,3n} whose cycle lengths are all divisible by 3. A178575
McKay-Thompson series of class 16C for Monster. A58516