Properties of the Number 20277

Twenty Thousand Two Hundred Seventy-Seven

Basics

Value: 20276 → 20277 → 20278

Parity: odd

Prime: No

Previous Prime: 20269

Next Prime: 20287

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 751

Divisors: 1, 3, 9, 27, 751, 2253, 6759, 20277

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

2196 Try Today's Challenge

Representations

Binary: 100111100110101

Octal: 47465

Duodecimal: B899

Hexadecimal: 4f35

Square: 411156729

Square Root: 142.39733143566983

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

Number of partitions of n such that the least part occurs exactly three times. A97091

Numbers k such that k! - (k-1)! - 1 is prime. A49433

Numerators of coefficients in series expansion of -512*(1+x)³/(x-8)³. A66414

Expansion of s(q)⁶ where s() is cubic AGM θ functions. A320677

Numbers k such that A307437(k) is divisible by 3. A342037

G.f.: ∑_k>=0 x^k*(k+1/2) * ∏_j=1..k 1/(1 - x^j)³. A376707

G.f. A(x) satisfies A(x) = 1/( 1 - x·A(x)^4/3/(1 - x·A(x)^4/3) )³. A378669

Number of permutations of length n which avoid the patterns 1234, 3142, 3421. A116767

Number of n X n binary arrays symmetric under 180 degree rotation with all ones connected only in a 1000-1100-0111 pattern in any orientation. A146396

Strong pseudoprimes to base 51. A20277