3,993,105

3 × 5 × 509 × 523

Starting at 3,993,105, the Collatz iteration reaches 1 after 229 steps. The first transition is 11979316; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 509 × 523

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 6,413,760

Proper Divisor Sum 2,420,655

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3993103 ← → #3993107

Radix Representation

Decimal	3993105
Binary	1111001110111000010001 (22 bits)
Octal	0o17167021
Hexadecimal	0x3CEE11

Divisor Catalog (16)

1 3 5 15 509 523 1,527 1,569 2,545 2,615 7,635 7,845 266,207 798,621 1,331,035 3,993,105

Collatz Trajectory (229 steps to reach 1)

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

3,993,105 11,979,316 5,989,658 2,994,829 8,984,488 4,492,244 2,246,122 1,123,061 3,369,184 1,684,592 842,296 421,148 210,574 105,287 315,862 157,931 473,794 236,897 710,692 355,346 177,673 533,020 266,510 133,255 399,766 199,883 599,650 299,825 899,476 449,738 224,869 674,608 337,304 168,652 84,326 42,163 126,490 63,245 189,736 94,868 47,434 23,717 71,152 35,576 17,788 8,894 4,447 13,342 6,671 20,014 10,007 30,022 15,011 45,034 22,517 67,552 33,776 16,888 8,444 4,222

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