Properties of the Number 14355

Fourteen Thousand Three Hundred Fifty-Five

Basics

Value: 14354 → 14355 → 14356

Parity: odd

Prime: No

Previous Prime: 14347

Next Prime: 14369

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 11 × 29

Divisors: 1, 3, 5, 9, 11, 15, 29, 33, 45, 55

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 11100000010011

Octal: 34023

Duodecimal: 8383

Hexadecimal: 3813

Square: 206066025

Square Root: 119.81235328629515

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

G.f. A(x,y) satisfies: -y = f(-x,-A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354650

G.f. A(x,y) satisfies: y = f(x,A(x,y)), where f(x,y) = ∑_n=-oo..oo x^n*(n+1/2) * y^n*(n-1/2) is Ramanujan's θ function. A354649

Coefficient of x⁸ in expansion of (1+x+x²)ⁿ. A5716

3 times 11-gonal (or hendecagonal) numbers: a(n) = 3·n*(9·n-7)/2. A153783

Form array in which n-th row is obtained by expanding (1+x+x²)ⁿ and taking the 3rd column from the center. A14532

G.f. A(x,y) satisfies: x·y = ∑_n=-oo..+oo (-1)ⁿ * x^n*(n+1/2) * A(x,y)ⁿ, with coefficients T(n,k) of xⁿ*y^k in A(x,y) given as a triangle read by rows. A355350

a(n) = n*(n + 7)*(n + 14)*(n + 21)/24. A264447

Magic sums of 4 X 4 magic squares composed of squares. A271580

a(n) = (n+1)*(n-2)*(n-3)/2. A212343

Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having exactly k UUU's (triple rises) where U=(1,1). Rows have 1,1,1,2,3,4,5,... entries, respectively. A92107