Properties of the Number 18277

Eighteen Thousand Two Hundred Seventy-Seven

Basics

Value: 18276 → 18277 → 18278

Parity: odd

Prime: No

Previous Prime: 18269

Next Prime: 18287

Digit Sum: 25

Digital Root: 7

Palindrome: No

Factorization: 7 ² × 373

Divisors: 1, 7, 49, 373, 2611, 18277

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011101100101

Octal: 43545

Duodecimal: A6B1

Hexadecimal: 4765

Square: 334048729

Square Root: 135.19245541079576

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

G.f. A(x) satisfies: 1 = ∑_n>=0 xⁿ * ((1+x)ⁿ - A(x))ⁿ⁺¹, where A(0) = 0. A307940

Triangle read by rows: the almost-Riordan array ( 1/(1-x) | 2/((1-x)*(1+sqrt(1-4·x))), (1-2·x-sqrt(1-4·x))/(2·x) ). A373744

E.g.f. satisfies A(x) = 1 + x*(exp(x·A(x)) - 1). A371115

Sum of the altitudes of the leftmost valleys of all Dyck paths of semilength n (if path has no valley, then this altitude is taken to be 0). A143955

Expansion of ∏_k>=1 (∏_j=1..k (1 + x^k·j)^k). A327064

Expansion of (x³-1+sqrt((x⁴+x³+4·x²+x+1)*(x²-x+1)))/(2·x²). A337589

a(n) = ∑_d∣n μ(n/d) * binomial(8·d,d) / (7·d+1). A346939

a(n) = A007290(n+2) - 1 = 2·C(n+2,3) - 1. A108766

G.f.: ∑_n>=0 xⁿ * ∑_k=0..n binomial(n,k)³ * x^k*(1-x)^n-k. A217421

Index sequence for limit-reversing A000002; see Comments. A245937