8,129,788

2² × 37 × 163 × 337

8,129,788 factors as 2^2 × 37 × 163 × 337. Its 24 positive divisors give a proper-divisor sum of 6,615,124, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 2^2 × 37 × 163 × 337

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 14,744,912

Proper Divisor Sum 6,615,124

Digit Sum / Digital Root 43 (Root: 7)

Adjacent Primes #8129783 ← → #8129801

Radix Representation

Decimal	8129788
Binary	11111000000110011111100 (23 bits)
Octal	0o37006374
Hexadecimal	0x7C0CFC

Divisor Catalog (24)

Collatz Trajectory (85 steps to reach 1)

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

8,129,788 4,064,894 2,032,447 6,097,342 3,048,671 9,146,014 4,573,007 13,719,022 6,859,511 20,578,534 10,289,267 30,867,802 15,433,901 46,301,704 23,150,852 11,575,426 5,787,713 17,363,140 8,681,570 4,340,785 13,022,356 6,511,178 3,255,589 9,766,768 4,883,384 2,441,692 1,220,846 610,423 1,831,270 915,635 2,746,906 1,373,453 4,120,360 2,060,180 1,030,090 515,045 1,545,136 772,568 386,284 193,142 96,571 289,714 144,857 434,572 217,286 108,643 325,930 162,965 488,896 244,448 122,224 61,112 30,556 15,278 7,639 22,918 11,459 34,378 17,189 51,568

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