2,784,366

2 × 3² × 13 × 73 × 163

Starting at 2,784,366, the Collatz iteration reaches 1 after 213 steps. The first transition is 1392183; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 73 × 163

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 6,626,256

Proper Divisor Sum 3,841,890

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #2784359 ← → #2784367

Radix Representation

Decimal	2784366
Binary	1010100111110001101110 (22 bits)
Octal	0o12476156
Hexadecimal	0x2A7C6E

Divisor Catalog (48)

1 2 3 6 9 13 18 26 39 73 78 117 146 163 219 234 326 438 489 657 949 978 1,314 1,467 1,898 2,119 2,847 2,934 4,238 5,694 6,357 8,541 11,899 12,714 17,082 19,071 23,798 35,697 38,142 71,394 107,091 154,687 214,182 309,374 464,061 928,122 1,392,183 2,784,366

Collatz Trajectory (213 steps to reach 1)

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

2,784,366 1,392,183 4,176,550 2,088,275 6,264,826 3,132,413 9,397,240 4,698,620 2,349,310 1,174,655 3,523,966 1,761,983 5,285,950 2,642,975 7,928,926 3,964,463 11,893,390 5,946,695 17,840,086 8,920,043 26,760,130 13,380,065 40,140,196 20,070,098 10,035,049 30,105,148 15,052,574 7,526,287 22,578,862 11,289,431 33,868,294 16,934,147 50,802,442 25,401,221 76,203,664 38,101,832 19,050,916 9,525,458 4,762,729 14,288,188 7,144,094 3,572,047 10,716,142 5,358,071 16,074,214 8,037,107 24,111,322 12,055,661 36,166,984 18,083,492 9,041,746 4,520,873 13,562,620 6,781,310 3,390,655 10,171,966 5,085,983 15,257,950 7,628,975 22,886,926

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