Properties of the Number 4205

Four Thousand Two Hundred Five

Basics

Value: 4204 → 4205 → 4206

Parity: odd

Prime: No

Previous Prime: 4201

Next Prime: 4211

Digit Sum: 11

Digital Root: 2

Palindrome: No

Factorization: 5 × 29 ²

Divisors: 1, 5, 29, 145, 841, 4205

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 1000001101101

Octal: 10155

Duodecimal: 2525

Hexadecimal: 106d

Square: 17682025

Square Root: 64.8459713474939

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

Coordination sequence for "hal" 3D uniform tiling. A299274

a(n) = 5·n². A33429

Numbers m such that there are precisely 3 groups of order m. A55561

a(n) = A005940(1+(1+(3·A156552(n)))) = (1/2) * A005940(1+(3·A156552(2·n))). A329603

The Collatz or 3x+1 map (A006370) conjugated by unary-binary-encoding (A156552). A341515

a(n) = ∑_k=1..n (lcm(n,n-1,...,n-k+2,n-k+1)/lcm(1,2,...,k)). A93431

Numbers with ordered prime signature (1,2). A95990

T(n,k)=Number of nXk arrays of the minimum value of corresponding elements and their horizontal, diagonal or antidiagonal neighbors in a random 0..2 nXk array. A219128

Numbers k such that σ(k) = ψ(k) + τ(k). A387953

Composites whose prime factorization in base 12 is an anagram of the number in base 12. A260055