Properties of the Number 68541

Sixty-Eight Thousand Five Hundred Forty-One

Basics

Value: 68540 → 68541 → 68542

Parity: odd

Prime: No

Previous Prime: 68539

Next Prime: 68543

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 3 × 11 × 31 × 67

Divisors: 1, 3, 11, 31, 33, 67, 93, 201, 341, 737

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000101110111101

Octal: 205675

Duodecimal: 337B9

Hexadecimal: 10bbd

Square: 4697868681

Square Root: 261.80336132295935

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

a(n) = ∑_d∣n σ(n/d)*d³. A27847

a(n) = ∑_d∣n d³*A000593(n/d). A288419

a(n) = n*(7·n² - 3·n - 1)/3. A214659

a(n) = (9·n⁴ + 4·n³ - n)/2. A47786

a(n) = A100092(n²+1). A100093

Number of unordered triples of self-avoiding paths with nodes that cover all vertices of a convex n-gon; one-node paths are allowed. A360021

Let sqrt(2) = 1.d(1)d(2)d(3)... = 1.0110101000001... be the expansion of sqrt(2) in base 2; sequence gives values of j such that j/2 = ∑_k=1..j d(k). A68541