Properties of the Number 4415

Four Thousand Four Hundred Fifteen

Basics

Value: 4414 → 4415 → 4416

Parity: odd

Prime: No

Previous Prime: 4409

Next Prime: 4421

Digit Sum: 14

Digital Root: 5

Palindrome: No

Factorization: 5 × 883

Divisors: 1, 5, 883, 4415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000100111111

Octal: 10477

Duodecimal: 267B

Hexadecimal: 113f

Square: 19492225

Square Root: 66.44546636152086

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 integer partitions of n whose parts do not have choosable sets of integer partitions. A387134

Numbers k such that k and k+1 are both base φ Niven numbers (A334308). A334309

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random, but sorted with lexicographically nondecreasing rows and nonincreasing columns, 0..3 nXk array. A220044

T(n,k)=Number of nXk 0..1 arrays with every 1 horizontally or antidiagonally adjacent to 1 neighboring 1s. A297224

T(n,k)=Number of nXk 0..1 arrays with every element equal to 0, 2, 3, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero. A303242

A sequence of asymptotic density ζ(7) - 1, where ζ is the Riemann ζ function. A143033

a(n) = 2·n² + 8·n + 5. A268581

Expansion of ∏_{k > 0} (1 + A005229(k)*x^k). A147880

Expansion of g.f. 5*(1-x-x²)/((1+x)*(1-3·x+x²)). A189316

Length of the shorts leg in the unique primitive Pythagorean triple whose inradius is A000032(n) and such that its long leg and its hypotenuse are consecutive natural numbers. A380821