Properties of the Number 20677

Twenty Thousand Six Hundred Seventy-Seven

Basics

Value: 20676 → 20677 → 20678

Parity: odd

Prime: No

Previous Prime: 20663

Next Prime: 20681

Digit Sum: 22

Digital Root: 4

Palindrome: No

Factorization: 23 × 29 × 31

Divisors: 1, 23, 29, 31, 667, 713, 899, 20677

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 101000011000101

Octal: 50305

Duodecimal: BB71

Hexadecimal: 50c5

Square: 427538329

Square Root: 143.7949929587258

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

Expansion of ∏_i>=1 (1 - xⁱ)^-1/i; also of exp(∑_n>=1 (d(n)*xⁿ/n)) where d is number of divisors function. A28342

Product of 3 successive primes. A46301

Numerators of series expansion of the e.g.f. for the Catalan numbers. A144186

Smallest b > 1 such that b^p-1 == 1 (mod p⁴) for p = prime(n). A353937

G.f.: ∑_n>=0 xⁿ * ∏_k=0..n-1 (1 + k·x + x²). A201951

S₁₁ sequence in partition of integers > 1 described in A240521. A241024

Number of integer partitions of n whose first differences are not all distinct. A389919

Products m of k = 3 consecutive primes p₁..p_k, where only p₁ < m^1/k. A375008

Triangle of coefficients of g.f. a*(1+x)ⁿ + b*(1-x)ⁿ⁺²*polylog(-n-1, x)/x + 2ⁿ*c*(1-x)ⁿ⁺¹*LerchPhi(x, -n, 1/2), with a = -1, b = 1, c = 1. A168523

Square array A(n,k), n >= 0, k >= 0, read by antidiagonals, where column k is the expansion of e.g.f.: ∏_j>0 1/(1-j^k*x^j)^1/j. A294761