Properties of the Number 20272

Twenty Thousand Two Hundred Seventy-Two

Basics

Value: 20271 → 20272 → 20273

Parity: even

Prime: No

Previous Prime: 20269

Next Prime: 20287

Digit Sum: 13

Digital Root: 4

Palindrome: No

Factorization: 2 ⁴ × 7 × 181

Divisors: 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111100110000

Octal: 47460

Duodecimal: B894

Hexadecimal: 4f30

Square: 410953984

Square Root: 142.37977384446148

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

a(n) = 14·a(n-1) - a(n-2) + 6 for n>1, a(0)=0, a(1)=7. A1921

T(n,k) = number of arrays of length n that are sums of k consecutive elements of length n+k-1 permutations of 0..n+k-2. A229565

Numbers m such that 2*φ(m) = φ(m+1). A50472

Expansion of (-1 + ∏_k>=1 1 / (1 + (-x)^k))⁷. A341246

7th binomial transform of (1,0,1,0,1,...), A059841. A81189

Expansion of (x-1)²/(1-x²-2·x³). A159286

The number of P-positions in the game of Nim with up to four piles, allowing for piles of zero, such that the total number of objects in all piles doesn't exceed 2n. A237686

a(n) is the number of distinct solution sets to the quadratic equations u·x² + v·x + w = 0 with integer coefficients u, v, w, abs(u) + abs(v) + abs(w) <= n having a nonnegative discriminant. A379597

Integers that can be expressed as the sum of consecutive primes in exactly 5 ways. A55000

Number of reduced words of length n in the Weyl group E₈ on 8 generators and order 696729600. A162494