3,904,050

2 × 3 × 5² × 17 × 1531

Starting at 3,904,050, the Collatz iteration reaches 1 after 128 steps. The first transition is 1952025; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 17 × 1531

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,258,272

Proper Divisor Sum 6,354,222

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #3904039 ← → #3904051

Radix Representation

Decimal	3904050
Binary	1110111001001000110010 (22 bits)
Octal	0o16711062
Hexadecimal	0x3B9232

Divisor Catalog (48)

1 2 3 5 6 10 15 17 25 30 34 50 51 75 85 102 150 170 255 425 510 850 1,275 1,531 2,550 3,062 4,593 7,655 9,186 15,310 22,965 26,027 38,275 45,930 52,054 76,550 78,081 114,825 130,135 156,162 229,650 260,270 390,405 650,675 780,810 1,301,350 1,952,025 3,904,050

Collatz Trajectory (128 steps to reach 1)

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

3,904,050 1,952,025 5,856,076 2,928,038 1,464,019 4,392,058 2,196,029 6,588,088 3,294,044 1,647,022 823,511 2,470,534 1,235,267 3,705,802 1,852,901 5,558,704 2,779,352 1,389,676 694,838 347,419 1,042,258 521,129 1,563,388 781,694 390,847 1,172,542 586,271 1,758,814 879,407 2,638,222 1,319,111 3,957,334 1,978,667 5,936,002 2,968,001 8,904,004 4,452,002 2,226,001 6,678,004 3,339,002 1,669,501 5,008,504 2,504,252 1,252,126 626,063 1,878,190 939,095 2,817,286 1,408,643 4,225,930 2,112,965 6,338,896 3,169,448 1,584,724 792,362 396,181 1,188,544 594,272 297,136 148,568

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