Properties of the Number 35181

Thirty-Five Thousand One Hundred Eighty-One

Basics

Value: 35180 → 35181 → 35182

Parity: odd

Prime: No

Previous Prime: 35171

Next Prime: 35201

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ³ × 1303

Divisors: 1, 3, 9, 27, 1303, 3909, 11727, 35181

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100101101101

Octal: 104555

Duodecimal: 18439

Hexadecimal: 896d

Square: 1237702761

Square Root: 187.56598838808702

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 in which any two parts differ by at most 9. A218511

Triangular matrix T, read by rows, that satisfies T² = A105615³; also equals the matrix cube of triangle A105623. A105626

G.f. A(x) satisfies: A(x) = 1 + x·A(x) * (A(x) + 3·x*A'(x)) / (A(x) + x·A'(x)). A302699

Number of nX7 0..1 arrays with every element unequal to 0, 1, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318081

Number of 4-noncrossing RNA structures with arc-length => 4. A140639

T(n,k)=Number of nXk 0..1 arrays with every element unequal to 0, 1, 3 or 5 horizontally, vertically or antidiagonally adjacent elements, with upper left element zero. A318082

a(n) = ∑_d∣n Kronecker(-9, d). A35181