Properties of the Number 13584

Thirteen Thousand Five Hundred Eighty-Four

Basics

Value: 13583 → 13584 → 13585

Parity: even

Prime: No

Previous Prime: 13577

Next Prime: 13591

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 2 ⁴ × 3 × 283

Divisors: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11010100010000

Octal: 32420

Duodecimal: 7A40

Hexadecimal: 3510

Square: 184525056

Square Root: 116.55041827466772

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) = n*(7·n²-4)/3. A63521

a(n) = 1·2*3·4 + 5·6*7·8 + 9·10·11·12 + 13·14·15·16 + 17·18·19·20 + ... + (up to n). A319205

a(n) = 4·3*2·1 + 8·7*6·5 + 12·11·10·9 + 16·15·14·13 + ... + (up to the n-th term). A319868

Integer part of square root of n⁵ = A000584(n). A155013

Expansion of e.g.f. exp(-2·x) / (2 - exp(4·x)). A367982

Numbers k such that k and 5·k, taken together, are pandigital. A115925

Colombian numbers that are also Bogotá numbers. A336984

The least k such that A063994(k) = ∏_{primes p dividing k} gcd(p-1, k-1) = n, or 0 if there's no such k. A64234

Zeroless numbers n with digits d₁, d₂, ... d_k such that d₁³ + ... + d_k³ is a cube. A254960

Expansion of ∏_k>=1 (1 - x^6·k) * (1 + x^12·k-3) * (1 + x^12·k-9) / ((1 - x^4·k-2) * (1 - x^2·k)). A280948