Properties of the Number 19551

Nineteen Thousand Five Hundred Fifty-One

Basics

Value: 19550 → 19551 → 19552

Parity: odd

Prime: No

Previous Prime: 19543

Next Prime: 19553

Digit Sum: 21

Digital Root: 3

Palindrome: No

Factorization: 3 × 7 ³ × 19

Divisors: 1, 3, 7, 19, 21, 49, 57, 133, 147, 343

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100110001011111

Octal: 46137

Duodecimal: B393

Hexadecimal: 4c5f

Square: 382241601

Square Root: 139.82489048806724

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

4-dimensional analog of centered polygonal numbers. A6325

Number of paths along a corridor width 8, starting from one side. A61551

T(n,k)=Number of length (n+k)X1 arrays of occupancy after each element moves up to +-k places including 0. A222345

Let i be in {1,2,3,4} and let r >= 0 be an integer. Let p={p₁, p₂, p₃, p₄} = {-3,0,1,2}, n=3·r+p_i, and define a(-3)=0. Then a(n)=a(3·r+p_i) gives the quantity of H_9,4,0 tiles in a subdivided H_9,i,r tile after linear scaling by the factor Q^r, where Q=sqrt(2·cos(π/9)). A187498

Numbers D such that D² = A³ + B⁴ + C⁵ and A² + B³ + C⁴ = d² for some positive integers A, B, C, d. A256613

a(2·n+1) = 7·a(n), a(2·n+2) = 8·a(n) + a(n-1). A116554

Expansion of x/(1 - 9·x + 28·x² - 35·x³ + 15·x⁴ - x⁵). A122588

Number of compositions (ordered partitions) of n into distinct squarefree parts. A331846

Number of (s(0), s(1), ..., s(2n+1)) such that 0 < s(i) < 9 and |s(i) - s(i-1)| = 1 for i = 1,2,...,2n+1, s(0) = 4, s(2n+1) = 5. A94855

Number of partitions of triangular numbers n*(n+1)/2 into (n-2) distinct parts for n>=3. A104384