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3,920,728

23 × 7 × 53 × 1321
Abundant Even Composite

3,920,728 factors as 2^3 × 7 × 53 × 1321. Its 32 positive divisors give a proper-divisor sum of 4,645,832, so this integer is abundant. The Collatz stopping time is 79 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 53 × 1321
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,566,560
Proper Divisor Sum 4,645,832
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3920689 ← → #3920729

Radix Representation

Decimal 3920728
Binary 1110111101001101011000 (22 bits)
Octal 0o16751530
Hexadecimal 0x3BD358

Divisor Catalog (32)

1 2 4 7 8 14 28 53 56 106 212 371 424 742 1,321 1,484 2,642 2,968 5,284 9,247 10,568 18,494 36,988 70,013 73,976 140,026 280,052 490,091 560,104 980,182 1,960,364 3,920,728

Collatz Trajectory (79 steps to reach 1)

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

3,920,728 1,960,364 980,182 490,091 1,470,274 735,137 2,205,412 1,102,706 551,353 1,654,060 827,030 413,515 1,240,546 620,273 1,860,820 930,410 465,205 1,395,616 697,808 348,904 174,452 87,226 43,613 130,840 65,420 32,710 16,355 49,066 24,533 73,600 36,800 18,400 9,200 4,600 2,300 1,150 575 1,726 863 2,590 1,295 3,886 1,943 5,830 2,915 8,746 4,373 13,120 6,560 3,280 1,640 820 410 205 616 308 154 77 232 116

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