3,287,080

2³ × 5 × 37 × 2221

Starting at 3,287,080, the Collatz iteration reaches 1 after 84 steps. The first transition is 1643540; the starting value is even with 32 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 5 × 37 × 2221

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 7,599,240

Proper Divisor Sum 4,312,160

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #3287077 ← → #3287083

Radix Representation

Decimal	3287080
Binary	1100100010100000101000 (22 bits)
Octal	0o14424050
Hexadecimal	0x322828

Divisor Catalog (32)

1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1,480 2,221 4,442 8,884 11,105 17,768 22,210 44,420 82,177 88,840 164,354 328,708 410,885 657,416 821,770 1,643,540 3,287,080

Collatz Trajectory (84 steps to reach 1)

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

3,287,080 1,643,540 821,770 410,885 1,232,656 616,328 308,164 154,082 77,041 231,124 115,562 57,781 173,344 86,672 43,336 21,668 10,834 5,417 16,252 8,126 4,063 12,190 6,095 18,286 9,143 27,430 13,715 41,146 20,573 61,720 30,860 15,430 7,715 23,146 11,573 34,720 17,360 8,680 4,340 2,170 1,085 3,256 1,628 814 407 1,222 611 1,834 917 2,752 1,376 688 344 172 86 43 130 65 196 98

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