Properties of the Number 14535

Fourteen Thousand Five Hundred Thirty-Five

Basics

Value: 14534 → 14535 → 14536

Parity: odd

Prime: No

Previous Prime: 14533

Next Prime: 14537

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 17 × 19

Divisors: 1, 3, 5, 9, 15, 17, 19, 45, 51, 57

Polygonal

Triangular: Yes

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100011000111

Octal: 34307

Duodecimal: 84B3

Hexadecimal: 38c7

Square: 211266225

Square Root: 120.56118778446071

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

Tritriangular numbers: a(n) = binomial(binomial(n,2),2) = n*(n+1)*(n-1)*(n-2)/8. A50534

Triangle of Gaussian (or q-binomial) coefficients for q = -2. A15109

Number of non-quanimous subsets of {1..n}, meaning there is only one set partition with all equal block-sums. A371789

Jacobsthal oblong numbers. A84175

a(n) = (2·n-1)*(4·n-1). A33567

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks at even height. A91869

Expansion of ∏_n>=1 (1 - x^5·n)/(1 - xⁿ)⁵ in powers of x. A277212

a(0) = 0, a(1) = 1, and a(n) = ((2·n - 1)*a(n-1) + 3·n*a(n-2))/(n - 1) for n >= 2. A102839

Triangular numbers which are the average of two consecutive primes. A130178

Numbers equal to a permutation (or rearrangement) of the digits of the sum of their proper divisors. Rearrangements which cause leading zeros are excluded. A85844