3,626,712

2³ × 3² × 17 × 2963

Starting at 3,626,712, the Collatz iteration reaches 1 after 203 steps. The first transition is 1813356; the starting value is even with 48 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 17 × 2963

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 10,403,640

Proper Divisor Sum 6,776,928

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3626683 ← → #3626717

Radix Representation

Decimal	3626712
Binary	1101110101011011011000 (22 bits)
Octal	0o15653330
Hexadecimal	0x3756D8

Divisor Catalog (48)

1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1,224 2,963 5,926 8,889 11,852 17,778 23,704 26,667 35,556 50,371 53,334 71,112 100,742 106,668 151,113 201,484 213,336 302,226 402,968 453,339 604,452 906,678 1,208,904 1,813,356 3,626,712

Collatz Trajectory (203 steps to reach 1)

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

3,626,712 1,813,356 906,678 453,339 1,360,018 680,009 2,040,028 1,020,014 510,007 1,530,022 765,011 2,295,034 1,147,517 3,442,552 1,721,276 860,638 430,319 1,290,958 645,479 1,936,438 968,219 2,904,658 1,452,329 4,356,988 2,178,494 1,089,247 3,267,742 1,633,871 4,901,614 2,450,807 7,352,422 3,676,211 11,028,634 5,514,317 16,542,952 8,271,476 4,135,738 2,067,869 6,203,608 3,101,804 1,550,902 775,451 2,326,354 1,163,177 3,489,532 1,744,766 872,383 2,617,150 1,308,575 3,925,726 1,962,863 5,888,590 2,944,295 8,832,886 4,416,443 13,249,330 6,624,665 19,873,996 9,936,998 4,968,499

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