Properties of the Number 84135

Eighty-Four Thousand One Hundred Thirty-Five

Basics

Value: 84134 → 84135 → 84136

Parity: odd

Prime: No

Previous Prime: 84131

Next Prime: 84137

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 71 × 79

Divisors: 1, 3, 5, 15, 71, 79, 213, 237, 355, 395

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100100010100111

Octal: 244247

Duodecimal: 40833

Hexadecimal: 148a7

Square: 7078698225

Square Root: 290.0603385504471

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 k such that σ(k) = σ(k-1). A231546

Numbers which are both lucky and pentagonal. A128511

Runs of consecutive numbers with the same number and sum of divisors. A225758

E.g.f.: 1 / (1 + x + ∑_k>=2 prime(k-1) * x^k / k!). A346791

Numbers n such that (i) the sum of the distinct primes dividing n is divisible by the largest prime dividing n and (ii) n has exactly 4 distinct prime factors and (iii) n is squarefree. A71143

a(n+1) is the integer part of sqrt(2·a(n)²). A102822

Numbers k that divide σ(k) - σ(k-1). A227307

Numbers n such that product of double factorials of the digits of n equals σ(n). A158989

Pentagonal numbers which are products of four distinct primes. A381919

a(n) = 10·a(n-1) - 15·a(n-2), a(0)=1, a(1)=5. A84135