Properties of the Number 34580

Thirty-Four Thousand Five Hundred Eighty

Basics

Value: 34579 → 34580 → 34581

Parity: even

Prime: No

Previous Prime: 34549

Next Prime: 34583

Digit Sum: 20

Digital Root: 2

Palindrome: No

Factorization: 2 ² × 5 × 7 × 13 × 19

Divisors: 1, 2, 4, 5, 7, 10, 13, 14, 19, 20

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000011100010100

Octal: 103424

Duodecimal: 18018

Hexadecimal: 8714

Square: 1195776400

Square Root: 185.9569842732453

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

Jordan function J₃(n). A59376

a(n) = ∑_{d∣n, n/d=1 mod 4} d³ - ∑_{d∣n, n/d=3 mod 4} d³. A50471

Multiplicative with a(p^e) = 1 - p³. A63453

Numbers k such that N = k⁶ is a twin rank (cf. A002822: 6N +- 1 are twin primes). A326236

The smallest number k that has a factorization k = f1·f2*...*fr where the numbers k, f1, f2, ..., fr together contain every number from 0 to n, without overlap, as substrings. A371958

Perimeter s/6 (divided by 6) of primitive Pythagorean triangles such that perimeters are Averages of twin prime pairs, q=p+1, a=q²-p², c=q²+p², b=2·p*q, s=a+b+c, s-+1 are primes. A155176

Sum of terms in n-th row of A077316. A77318

a(n) = n³ * ∑_d∣n (-1)^{n/d + 1} * μ(d) / d³. A338548

Perimeters of more than one primitive 120-degree integer triangle. A350047

a(n) = ∑_{d∣n, d==1 mod 4} d³ - ∑_{d∣n, d==3 mod 4} d³. A50459