3,255,980

2² × 5 × 7 × 13 × 1789

Starting at 3,255,980, the Collatz iteration reaches 1 after 63 steps. The first transition is 1627990; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 1789

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,420,160

Proper Divisor Sum 5,164,180

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #3255979 ← → #3255983

Radix Representation

Decimal	3255980
Binary	1100011010111010101100 (22 bits)
Octal	0o14327254
Hexadecimal	0x31AEAC

Divisor Catalog (48)

1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1,789 1,820 3,578 7,156 8,945 12,523 17,890 23,257 25,046 35,780 46,514 50,092 62,615 93,028 116,285 125,230 162,799 232,570 250,460 325,598 465,140 651,196 813,995 1,627,990 3,255,980

Collatz Trajectory (63 steps to reach 1)

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

3,255,980 1,627,990 813,995 2,441,986 1,220,993 3,662,980 1,831,490 915,745 2,747,236 1,373,618 686,809 2,060,428 1,030,214 515,107 1,545,322 772,661 2,317,984 1,158,992 579,496 289,748 144,874 72,437 217,312 108,656 54,328 27,164 13,582 6,791 20,374 10,187 30,562 15,281 45,844 22,922 11,461 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16

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