2,895,288

2³ × 3 × 11² × 997

Starting at 2,895,288, the Collatz iteration reaches 1 after 107 steps. The first transition is 1447644; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 11^2 × 997

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 7,964,040

Proper Divisor Sum 5,068,752

Digit Sum / Digital Root 42 (Root: 6)

Adjacent Primes #2895281 ← → #2895293

Radix Representation

Decimal	2895288
Binary	1011000010110110111000 (22 bits)
Octal	0o13026670
Hexadecimal	0x2C2DB8

Divisor Catalog (48)

1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 997 1,452 1,994 2,904 2,991 3,988 5,982 7,976 10,967 11,964 21,934 23,928 32,901 43,868 65,802 87,736 120,637 131,604 241,274 263,208 361,911 482,548 723,822 965,096 1,447,644 2,895,288

Collatz Trajectory (107 steps to reach 1)

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

2,895,288 1,447,644 723,822 361,911 1,085,734 542,867 1,628,602 814,301 2,442,904 1,221,452 610,726 305,363 916,090 458,045 1,374,136 687,068 343,534 171,767 515,302 257,651 772,954 386,477 1,159,432 579,716 289,858 144,929 434,788 217,394 108,697 326,092 163,046 81,523 244,570 122,285 366,856 183,428 91,714 45,857 137,572 68,786 34,393 103,180 51,590 25,795 77,386 38,693 116,080 58,040 29,020 14,510 7,255 21,766 10,883 32,650 16,325 48,976 24,488 12,244 6,122 3,061

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