2,725,750

2 × 5³ × 10903

Starting at 2,725,750, the Collatz iteration reaches 1 after 200 steps. The first transition is 1362875; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 5^3 × 10903

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,103,072

Proper Divisor Sum 2,377,322

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #2725711 ← → #2725769

Radix Representation

Decimal	2725750
Binary	1010011001011101110110 (22 bits)
Octal	0o12313566
Hexadecimal	0x299776

Divisor Catalog (16)

1 2 5 10 25 50 125 250 10,903 21,806 54,515 109,030 272,575 545,150 1,362,875 2,725,750

Collatz Trajectory (200 steps to reach 1)

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

2,725,750 1,362,875 4,088,626 2,044,313 6,132,940 3,066,470 1,533,235 4,599,706 2,299,853 6,899,560 3,449,780 1,724,890 862,445 2,587,336 1,293,668 646,834 323,417 970,252 485,126 242,563 727,690 363,845 1,091,536 545,768 272,884 136,442 68,221 204,664 102,332 51,166 25,583 76,750 38,375 115,126 57,563 172,690 86,345 259,036 129,518 64,759 194,278 97,139 291,418 145,709 437,128 218,564 109,282 54,641 163,924 81,962 40,981 122,944 61,472 30,736 15,368 7,684 3,842 1,921 5,764 2,882

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