3,789,643

11 × 13 × 26501

Starting at 3,789,643, the Collatz iteration reaches 1 after 128 steps. The first transition is 11368930; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 11 × 13 × 26501

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,452,336

Proper Divisor Sum 662,693

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #3789613 ← → #3789701

Radix Representation

Decimal	3789643
Binary	1110011101001101001011 (22 bits)
Octal	0o16351513
Hexadecimal	0x39D34B

Divisor Catalog (8)

1 11 13 143 26,501 291,511 344,513 3,789,643

Collatz Trajectory (128 steps to reach 1)

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

3,789,643 11,368,930 5,684,465 17,053,396 8,526,698 4,263,349 12,790,048 6,395,024 3,197,512 1,598,756 799,378 399,689 1,199,068 599,534 299,767 899,302 449,651 1,348,954 674,477 2,023,432 1,011,716 505,858 252,929 758,788 379,394 189,697 569,092 284,546 142,273 426,820 213,410 106,705 320,116 160,058 80,029 240,088 120,044 60,022 30,011 90,034 45,017 135,052 67,526 33,763 101,290 50,645 151,936 75,968 37,984 18,992 9,496 4,748 2,374 1,187 3,562 1,781 5,344 2,672 1,336 668

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