Properties of the Number 17874

Seventeen Thousand Eight Hundred Seventy-Four

Basics

Value: 17873 → 17874 → 17875

Parity: even

Prime: No

Previous Prime: 17863

Next Prime: 17881

Digit Sum: 27

Digital Root: 9

Palindrome: No

Factorization: 2 × 3 ³ × 331

Divisors: 1, 2, 3, 6, 9, 18, 27, 54, 331, 662

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100010111010010

Octal: 42722

Duodecimal: A416

Hexadecimal: 45d2

Square: 319479876

Square Root: 133.69367973094316

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 that are the sum of five fourth powers in three or more ways. A344243

Numbers that are the sum of five fourth powers in exactly three ways. A344244

Number of bipartite partitions of n white objects and 5 black ones. A491

Triangle of numbers {a(n,k), n >= 0, 0<=k<=n} defined by a(0,0)=1, a(n,0)=a(n-1,n-1), a(n,k)=a(n,k-1) + ∑_i=0..k-1 a(n-1,i). A108041

a(n) = A194588(n) - A005043(n); complementary Riordan numbers. A194589

Numbers n such that n¹⁰²⁴ + (n+1)¹⁰²⁴ is prime. A274234

First term of n-th difference sequence of (floor(k·r)), r = sqrt(6), k >= 0. A325670

a(n) = ∑_{k=0..floor(n/4)} binomial(2·k,k) * binomial(n-k-1,n-4·k). A393276

Sum of the lengths of the first ascents in all n-length left factors of Dyck paths. A191782

Irregular triangle read by rows: T(n,k) = number of directed graphs-with-loops with n nodes and k arcs (n >= 0, 0 <= k <= n²). A46858