2,728,479

3 × 13 × 43 × 1627

Starting at 2,728,479, the Collatz iteration reaches 1 after 200 steps. The first transition is 8185438; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 43 × 1627

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,011,392

Proper Divisor Sum 1,282,913

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #2728471 ← → #2728499

Radix Representation

Decimal	2728479
Binary	1010011010001000011111 (22 bits)
Octal	0o12321037
Hexadecimal	0x29A21F

Divisor Catalog (16)

1 3 13 39 43 129 559 1,627 1,677 4,881 21,151 63,453 69,961 209,883 909,493 2,728,479

Collatz Trajectory (200 steps to reach 1)

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

2,728,479 8,185,438 4,092,719 12,278,158 6,139,079 18,417,238 9,208,619 27,625,858 13,812,929 41,438,788 20,719,394 10,359,697 31,079,092 15,539,546 7,769,773 23,309,320 11,654,660 5,827,330 2,913,665 8,740,996 4,370,498 2,185,249 6,555,748 3,277,874 1,638,937 4,916,812 2,458,406 1,229,203 3,687,610 1,843,805 5,531,416 2,765,708 1,382,854 691,427 2,074,282 1,037,141 3,111,424 1,555,712 777,856 388,928 194,464 97,232 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314

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