2,709,180

2² × 3³ × 5 × 29 × 173

Starting at 2,709,180, the Collatz iteration reaches 1 after 200 steps. The first transition is 1354590; the starting value is even with 96 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 5 × 29 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 8,769,600

Proper Divisor Sum 6,060,420

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2709173 ← → #2709197

Radix Representation

Decimal	2709180
Binary	1010010101011010111100 (22 bits)
Octal	0o12253274
Hexadecimal	0x2956BC

Divisor Catalog (60 of 96)

1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 173 174 180 261 270 290 346 348 435 519 522 540 580 692 783 865 870 1,038 1,044 1,305 1,557 1,566 1,730 1,740 2,076 2,595 2,610 3,114 3,132 3,460 3,915 4,671 5,017 5,190

Collatz Trajectory (200 steps to reach 1)

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

2,709,180 1,354,590 677,295 2,031,886 1,015,943 3,047,830 1,523,915 4,571,746 2,285,873 6,857,620 3,428,810 1,714,405 5,143,216 2,571,608 1,285,804 642,902 321,451 964,354 482,177 1,446,532 723,266 361,633 1,084,900 542,450 271,225 813,676 406,838 203,419 610,258 305,129 915,388 457,694 228,847 686,542 343,271 1,029,814 514,907 1,544,722 772,361 2,317,084 1,158,542 579,271 1,737,814 868,907 2,606,722 1,303,361 3,910,084 1,955,042 977,521 2,932,564 1,466,282 733,141 2,199,424 1,099,712 549,856 274,928 137,464 68,732 34,366 17,183

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