Properties of the Number 1335

One Thousand Three Hundred Thirty-Five

Basics

Value: 1334 → 1335 → 1336

Parity: odd

Prime: No

Previous Prime: 1327

Next Prime: 1361

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 89

Divisors: 1, 3, 5, 15, 89, 267, 445, 1335

Polygonal

Triangular: No

Square: No

Pentagonal: Yes

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10100110111

Octal: 2467

Duodecimal: 933

Hexadecimal: 537

Square: 1782225

Square Root: 36.53765181289022

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

Pentagonal numbers: a(n) = n*(3·n-1)/2. A326

Generalized pentagonal numbers: m*(3·m - 1)/2, m = 0, +-1, +-2, +-3, .... A1318

Aitken's array: triangle of numbers {a(n,k), n >= 0, 0 <= k <= n} read by rows, defined by a(0,0)=1, a(n,0) = a(n-1,n-1), a(n,k) = a(n,k-1) + a(n-1,k-1). A11971

Numbers that are the sum of 8 positive 5th powers. A3353

a(n) = (prime(n)² - 1)/24. A24702

Pentagonal numbers with even index. A49452

a(n) = floor(n*φ⁷), where φ is the golden ratio, A001622. A4922

Number of subsets of {1..n} without all distinct lengths of maximal runs (increasing by 1). A384176

Number of primes less than 1000n. A38812

Iterate the map in A006369 starting at 16. A94329