8,702,664

2³ × 3 × 349 × 1039

8,702,664 factors as 2^3 × 3 × 349 × 1039. Its 32 positive divisors give a proper-divisor sum of 13,137,336, so this integer is abundant. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 349 × 1039

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 21,840,000

Proper Divisor Sum 13,137,336

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8702663 ← → #8702689

Radix Representation

Decimal	8702664
Binary	100001001100101011001000 (24 bits)
Octal	0o41145310
Hexadecimal	0x84CAC8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 349 698 1,039 1,047 1,396 2,078 2,094 2,792 3,117 4,156 4,188 6,234 8,312 8,376 12,468 24,936 362,611 725,222 1,087,833 1,450,444 2,175,666 2,900,888 4,351,332 8,702,664

Collatz Trajectory (212 steps to reach 1)

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

8,702,664 4,351,332 2,175,666 1,087,833 3,263,500 1,631,750 815,875 2,447,626 1,223,813 3,671,440 1,835,720 917,860 458,930 229,465 688,396 344,198 172,099 516,298 258,149 774,448 387,224 193,612 96,806 48,403 145,210 72,605 217,816 108,908 54,454 27,227 81,682 40,841 122,524 61,262 30,631 91,894 45,947 137,842 68,921 206,764 103,382 51,691 155,074 77,537 232,612 116,306 58,153 174,460 87,230 43,615 130,846 65,423 196,270 98,135 294,406 147,203 441,610 220,805 662,416 331,208

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