8,366,241

3 × 13 × 214519

8,366,241 factors as 3 × 13 × 214519. Its 8 positive divisors give a proper-divisor sum of 3,646,879, so this integer is deficient. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 3 × 13 × 214519

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 12,013,120

Proper Divisor Sum 3,646,879

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #8366207 ← → #8366243

Radix Representation

Decimal	8366241
Binary	11111111010100010100001 (23 bits)
Octal	0o37724241
Hexadecimal	0x7FA8A1

Divisor Catalog (8)

1 3 13 39 214,519 643,557 2,788,747 8,366,241

Collatz Trajectory (137 steps to reach 1)

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

8,366,241 25,098,724 12,549,362 6,274,681 18,824,044 9,412,022 4,706,011 14,118,034 7,059,017 21,177,052 10,588,526 5,294,263 15,882,790 7,941,395 23,824,186 11,912,093 35,736,280 17,868,140 8,934,070 4,467,035 13,401,106 6,700,553 20,101,660 10,050,830 5,025,415 15,076,246 7,538,123 22,614,370 11,307,185 33,921,556 16,960,778 8,480,389 25,441,168 12,720,584 6,360,292 3,180,146 1,590,073 4,770,220 2,385,110 1,192,555 3,577,666 1,788,833 5,366,500 2,683,250 1,341,625 4,024,876 2,012,438 1,006,219 3,018,658 1,509,329 4,527,988 2,263,994 1,131,997 3,395,992 1,697,996 848,998 424,499 1,273,498 636,749 1,910,248

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