3,287,355

3 × 5 × 67 × 3271

Starting at 3,287,355, the Collatz iteration reaches 1 after 177 steps. The first transition is 9862066; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 67 × 3271

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,339,904

Proper Divisor Sum 2,052,549

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3287329 ← → #3287359

Radix Representation

Decimal	3287355
Binary	1100100010100100111011 (22 bits)
Octal	0o14424473
Hexadecimal	0x32293B

Divisor Catalog (16)

1 3 5 15 67 201 335 1,005 3,271 9,813 16,355 49,065 219,157 657,471 1,095,785 3,287,355

Collatz Trajectory (177 steps to reach 1)

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

3,287,355 9,862,066 4,931,033 14,793,100 7,396,550 3,698,275 11,094,826 5,547,413 16,642,240 8,321,120 4,160,560 2,080,280 1,040,140 520,070 260,035 780,106 390,053 1,170,160 585,080 292,540 146,270 73,135 219,406 109,703 329,110 164,555 493,666 246,833 740,500 370,250 185,125 555,376 277,688 138,844 69,422 34,711 104,134 52,067 156,202 78,101 234,304 117,152 58,576 29,288 14,644 7,322 3,661 10,984 5,492 2,746 1,373 4,120 2,060 1,030 515 1,546 773 2,320 1,160 580

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