3,357,060

2² × 3 × 5 × 7 × 7993

Starting at 3,357,060, the Collatz iteration reaches 1 after 208 steps. The first transition is 1678530; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 7 × 7993

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,743,936

Proper Divisor Sum 7,386,876

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3357043 ← → #3357061

Radix Representation

Decimal	3357060
Binary	1100110011100110000100 (22 bits)
Octal	0o14634604
Hexadecimal	0x333984

Divisor Catalog (48)

1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 7,993 15,986 23,979 31,972 39,965 47,958 55,951 79,930 95,916 111,902 119,895 159,860 167,853 223,804 239,790 279,755 335,706 479,580 559,510 671,412 839,265 1,119,020 1,678,530 3,357,060

Collatz Trajectory (208 steps to reach 1)

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

3,357,060 1,678,530 839,265 2,517,796 1,258,898 629,449 1,888,348 944,174 472,087 1,416,262 708,131 2,124,394 1,062,197 3,186,592 1,593,296 796,648 398,324 199,162 99,581 298,744 149,372 74,686 37,343 112,030 56,015 168,046 84,023 252,070 126,035 378,106 189,053 567,160 283,580 141,790 70,895 212,686 106,343 319,030 159,515 478,546 239,273 717,820 358,910 179,455 538,366 269,183 807,550 403,775 1,211,326 605,663 1,816,990 908,495 2,725,486 1,362,743 4,088,230 2,044,115 6,132,346 3,066,173 9,198,520 4,599,260

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