8,241,696

2⁵ × 3³ × 9539

8,241,696 has the prime decomposition 2^5 × 3^3 × 9539. Its 3 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 3^3 × 9539

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 24,040,800

Proper Divisor Sum 15,799,104

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #8241677 ← → #8241703

Radix Representation

Decimal	8241696
Binary	11111011100001000100000 (23 bits)
Octal	0o37341040
Hexadecimal	0x7DC220

Divisor Catalog (48)

1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 9,539 19,078 28,617 38,156 57,234 76,312 85,851 114,468 152,624 171,702 228,936 257,553 305,248 343,404 457,872 515,106 686,808 915,744 1,030,212 1,373,616 2,060,424 2,747,232 4,120,848 8,241,696

Collatz Trajectory (54 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

8,241,696 4,120,848 2,060,424 1,030,212 515,106 257,553 772,660 386,330 193,165 579,496 289,748 144,874 72,437 217,312 108,656 54,328 27,164 13,582 6,791 20,374 10,187 30,562 15,281 45,844 22,922 11,461 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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