7,720,592

2⁴ × 11 × 43867

Starting at 7,720,592, the Collatz iteration reaches 1 after 72 steps. The first transition is 3860296; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 11 × 43867

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 16,318,896

Proper Divisor Sum 8,598,304

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7720589 ← → #7720597

Radix Representation

Decimal	7720592
Binary	11101011100111010010000 (23 bits)
Octal	0o35347220
Hexadecimal	0x75CE90

Divisor Catalog (20)

1 2 4 8 11 16 22 44 88 176 43,867 87,734 175,468 350,936 482,537 701,872 965,074 1,930,148 3,860,296 7,720,592

Collatz Trajectory (72 steps to reach 1)

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

7,720,592 3,860,296 1,930,148 965,074 482,537 1,447,612 723,806 361,903 1,085,710 542,855 1,628,566 814,283 2,442,850 1,221,425 3,664,276 1,832,138 916,069 2,748,208 1,374,104 687,052 343,526 171,763 515,290 257,645 772,936 386,468 193,234 96,617 289,852 144,926 72,463 217,390 108,695 326,086 163,043 489,130 244,565 733,696 366,848 183,424 91,712 45,856 22,928 11,464 5,732 2,866 1,433 4,300 2,150 1,075 3,226 1,613 4,840 2,420 1,210 605 1,816 908 454 227

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