Properties of the Number 18384

Eighteen Thousand Three Hundred Eighty-Four

Basics

Value: 18383 → 18384 → 18385

Parity: even

Prime: No

Previous Prime: 18379

Next Prime: 18397

Digit Sum: 24

Digital Root: 6

Palindrome: No

Factorization: 2 ⁴ × 3 × 383

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

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

Today's Target

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Representations

Binary: 100011111010000

Octal: 43720

Duodecimal: A780

Hexadecimal: 47d0

Square: 337971456

Square Root: 135.58761005342635

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

Number of ways to split an integer partition of n into consecutive subsequences with weakly decreasing sums. A316245

T(n,k)=Number of length n+3 0..k arrays with some pair in every consecutive four terms totalling exactly k. A245950

T(n,k)=Number of nXk 0..2 arrays with some element plus some horizontally, diagonally or antidiagonally adjacent neighbor totalling two exactly once. A269035

Generalized Fibonacci numbers D_n,2. A6210

McKay-Thompson series of class 27b for the Monster group. A58601

Number of partitions of n with even number (or 0) 2's. A92295

Number of 8k+7 primes (A007522) in range ]2ⁿ,2ⁿ⁺¹]. A95012

Number of partitions p of n such that if h = min(p), then h is an (h,0)-separator of p; see Comments. A239510

G.f.: ∑_n>=0 (n+1)*(n+2)/2·xⁿ * (1 + xⁿ)ⁿ. A326003

a(n) = ∑_k=1..n μ(k) * (floor(n/k)⁴ - floor((n-1)/k)⁴). A344597