28,639

13 × 2203

Starting at 28,639, the Collatz iteration reaches 1 after 196 steps. The first transition is 85918; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 13 × 2203

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 30,856

Proper Divisor Sum 2,217

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #28631 ← → #28643

Radix Representation

Decimal	28639
Binary	110111111011111 (15 bits)
Octal	0o67737
Hexadecimal	0x6FDF

Divisor Catalog (4)

1 13 2,203 28,639

Collatz Trajectory (196 steps to reach 1)

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

28,639 85,918 42,959 128,878 64,439 193,318 96,659 289,978 144,989 434,968 217,484 108,742 54,371 163,114 81,557 244,672 122,336 61,168 30,584 15,292 7,646 3,823 11,470 5,735 17,206 8,603 25,810 12,905 38,716 19,358 9,679 29,038 14,519 43,558 21,779 65,338 32,669 98,008 49,004 24,502 12,251 36,754 18,377 55,132 27,566 13,783 41,350 20,675 62,026 31,013 93,040 46,520 23,260 11,630 5,815 17,446 8,723 26,170 13,085 39,256

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