Properties of the Number 2205

Two Thousand Two Hundred Five

Basics

Value: 2204 → 2205 → 2206

Parity: odd

Prime: No

Previous Prime: 2203

Next Prime: 2207

Digit Sum: 9

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 7 ²

Divisors: 1, 3, 5, 7, 9, 15, 21, 35, 45, 49

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: Yes

Tetrahedral: No

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Representations

Binary: 100010011101

Octal: 4235

Duodecimal: 1339

Hexadecimal: 89d

Square: 4862025

Square Root: 46.95742752749558

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

Primorial base exp-function: digits in primorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276086

Heptagonal numbers (or 7-gonal numbers): n*(5·n-3)/2. A566

Odd abundant numbers (odd numbers m whose sum of divisors exceeds 2m). A5231

a(n) = n² - 4. A28347

Numerator of 1/4 - 1/n². A61037

Number of integer partitions of n with all distinct run-sums. A353837

Primitive abundant numbers (abundant numbers all of whose proper divisors are deficient numbers). A71395

Factorial base exp-function: digits in factorial base representation of n become the exponents of successive prime factors whose product a(n) is. A276076

a(n) = 5·n². A33429

a(n) = A276086(A276086(n)), where A276086 is the primorial base exp-function. A276087