3,901,005

3² × 5 × 86689

Starting at 3,901,005, the Collatz iteration reaches 1 after 185 steps. The first transition is 11703016; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5 × 86689

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 6,761,820

Proper Divisor Sum 2,860,815

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3900989 ← → #3901013

Radix Representation

Decimal	3901005
Binary	1110111000011001001101 (22 bits)
Octal	0o16703115
Hexadecimal	0x3B864D

Divisor Catalog (12)

1 3 5 9 15 45 86,689 260,067 433,445 780,201 1,300,335 3,901,005

Collatz Trajectory (185 steps to reach 1)

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

3,901,005 11,703,016 5,851,508 2,925,754 1,462,877 4,388,632 2,194,316 1,097,158 548,579 1,645,738 822,869 2,468,608 1,234,304 617,152 308,576 154,288 77,144 38,572 19,286 9,643 28,930 14,465 43,396 21,698 10,849 32,548 16,274 8,137 24,412 12,206 6,103 18,310 9,155 27,466 13,733 41,200 20,600 10,300 5,150 2,575 7,726 3,863 11,590 5,795 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130

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