Properties of the Number 35427

Thirty-Five Thousand Four Hundred Twenty-Seven

Basics

Value: 35426 → 35427 → 35428

Parity: odd

Prime: No

Previous Prime: 35423

Next Prime: 35437

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ² × 241

Divisors: 1, 3, 7, 21, 49, 147, 241, 723, 1687, 5061

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000101001100011

Octal: 105143

Duodecimal: 18603

Hexadecimal: 8a63

Square: 1255072329

Square Root: 188.22061523648253

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

Numbers that are the sum of seven fourth powers in eight or more ways. A345574

Numbers that are the sum of seven fourth powers in nine or more ways. A345575

Numbers that are the sum of seven fourth powers in exactly nine ways. A345831

Numbers n such that there are precisely 15 groups of orders n and n + 1. A295995

a(n+1) = a(n) + floor(a(n)/5) with a(0)=5. A182306

G.f. A(x) satisfies A(x) = 1 / (1 - x - x * (1 + x + x²) * A(x³)). A367656

a(n) = number of tuples (a,b,c,d) of natural numbers a,b,c,d <= n with gcd(a,b)=gcd(b,c)=gcd(c,d)=gcd(d,a)=1. A256391

Expansion of (1/x) * Series_Reversion( x / ((1+x)² * (1+x+x²)³) ). A369480

Expansion of ∏_k>=1 (1 + x^k) * (1 + x^k²) * (1 + x^k³). A369575

Expansion of 1/(1 - 4·x + 5·x² - 3·x³). A27439