3,206,595

3 × 5 × 7 × 30539

Starting at 3,206,595, the Collatz iteration reaches 1 after 177 steps. The first transition is 9619786; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 7 × 30539

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 5,863,680

Proper Divisor Sum 2,657,085

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #3206579 ← → #3206597

Radix Representation

Decimal	3206595
Binary	1100001110110111000011 (22 bits)
Octal	0o14166703
Hexadecimal	0x30EDC3

Divisor Catalog (16)

1 3 5 7 15 21 35 105 30,539 91,617 152,695 213,773 458,085 641,319 1,068,865 3,206,595

Collatz Trajectory (177 steps to reach 1)

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

3,206,595 9,619,786 4,809,893 14,429,680 7,214,840 3,607,420 1,803,710 901,855 2,705,566 1,352,783 4,058,350 2,029,175 6,087,526 3,043,763 9,131,290 4,565,645 13,696,936 6,848,468 3,424,234 1,712,117 5,136,352 2,568,176 1,284,088 642,044 321,022 160,511 481,534 240,767 722,302 361,151 1,083,454 541,727 1,625,182 812,591 2,437,774 1,218,887 3,656,662 1,828,331 5,484,994 2,742,497 8,227,492 4,113,746 2,056,873 6,170,620 3,085,310 1,542,655 4,627,966 2,313,983 6,941,950 3,470,975 10,412,926 5,206,463 15,619,390 7,809,695 23,429,086 11,714,543 35,143,630 17,571,815 52,715,446 26,357,723

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