Properties of the Number 8415

Eight Thousand Four Hundred Fifteen

Basics

Value: 8414 → 8415 → 8416

Parity: odd

Prime: No

Previous Prime: 8389

Next Prime: 8419

Digit Sum: 18

Digital Root: 9

Palindrome: No

Factorization: 3 ² × 5 × 11 × 17

Divisors: 1, 3, 5, 9, 11, 15, 17, 33, 45, 51

Polygonal

Triangular: No

Square: No

Pentagonal: No

Hexagonal: No

Heptagonal: No

Tetrahedral: No

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Representations

Binary: 10000011011111

Octal: 20337

Duodecimal: 4A53

Hexadecimal: 20df

Square: 70812225

Square Root: 91.73330910852393

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

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

Odd primitive abundant numbers. A6038

Multiples of 15 containing a 15 in their decimal representation. A121035

Numbers k whose abundance is 18: σ(k) - 2·k = 18. A223610

a(n) = n*(5·n² - 3)/2. A63522

Numbers k such that 9·10^k - 1 is prime. A56725

Number of 5's in all partitions of n. A24789

Numbers n for which nontrivial positive magic squares of exactly 10 different orders with magic sum n exist. For a definition of nontrivial positive magic squares, see A125005. A125017

Odd numbers whose abundancy is closer to 2 than any smaller odd number. A171929

Odd numbers n such that abs(σ(n)-2n) <= n^1/3. Abundance-radius = abs(σ(n)-2n) does not exceed cubic root of n and n is odd. A88010