7,720,104

2³ × 3 × 7 × 45953

Starting at 7,720,104, the Collatz iteration reaches 1 after 124 steps. The first transition is 3860052; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 7 × 45953

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 22,057,920

Proper Divisor Sum 14,337,816

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #7720103 ← → #7720109

Radix Representation

Decimal	7720104
Binary	11101011100110010101000 (23 bits)
Octal	0o35346250
Hexadecimal	0x75CCA8

Divisor Catalog (32)

1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 45,953 91,906 137,859 183,812 275,718 321,671 367,624 551,436 643,342 965,013 1,102,872 1,286,684 1,930,026 2,573,368 3,860,052 7,720,104

Collatz Trajectory (124 steps to reach 1)

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

7,720,104 3,860,052 1,930,026 965,013 2,895,040 1,447,520 723,760 361,880 180,940 90,470 45,235 135,706 67,853 203,560 101,780 50,890 25,445 76,336 38,168 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401 10,204 5,102 2,551 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906 5,453 16,360 8,180

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