Properties of the Number 20415

Twenty Thousand Four Hundred Fifteen

Basics

Value: 20414 → 20415 → 20416

Parity: odd

Prime: No

Previous Prime: 20411

Next Prime: 20431

Digit Sum: 12

Digital Root: 3

Palindrome: No

Factorization: 3 × 5 × 1361

Divisors: 1, 3, 5, 15, 1361, 4083, 6805, 20415

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 100111110111111

Octal: 47677

Duodecimal: B993

Hexadecimal: 4fbf

Square: 416772225

Square Root: 142.88106942488918

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

a(n) = a(n-1) + 2·a(floor(n/2)) if n > 0, otherwise 1. A58039

Number of partitions p of n such that p contains fewer 1s than its conjugate. A240690

Integers n such that exactly 80 percent of the digits in base 2 are 1's. A163142

a(n) = cpg(3, n) + cpg(4, n) + ... + cpg(n, n) where cpg(m, n) is the n-th m-th-order centered polygonal number. A257052

Primitive values n such that the square with opposite corners (0,0) and (n,n) contains a point (x,y) with integer coordinates, with 0 < x,y < n, at an integer distance from three of the four corners. A260549

a(n) = ∑_i=1..n (prime(i+1)-prime(i))*prime(n+1-i). A343531

Accumulation of the upper left triangle used in binomial transform of nonnegative integers. A276659

G.f. A(x) satisfies: [xⁿ] A(x)ⁿ⁺¹ = [xⁿ] (1 + x·A(x)^3·n+1)ⁿ⁺¹ for n >= 0. A360337

Numbers k such that the continued fraction for sqrt(k) has period 76. A20415