3,605,638

2 × 691 × 2609

Starting at 3,605,638, the Collatz iteration reaches 1 after 115 steps. The first transition is 1802819; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 691 × 2609

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,418,360

Proper Divisor Sum 1,812,722

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #3605633 ← → #3605647

Radix Representation

Decimal	3605638
Binary	1101110000010010000110 (22 bits)
Octal	0o15602206
Hexadecimal	0x370486

Divisor Catalog (8)

1 2 691 1,382 2,609 5,218 1,802,819 3,605,638

Collatz Trajectory (115 steps to reach 1)

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

3,605,638 1,802,819 5,408,458 2,704,229 8,112,688 4,056,344 2,028,172 1,014,086 507,043 1,521,130 760,565 2,281,696 1,140,848 570,424 285,212 142,606 71,303 213,910 106,955 320,866 160,433 481,300 240,650 120,325 360,976 180,488 90,244 45,122 22,561 67,684 33,842 16,921 50,764 25,382 12,691 38,074 19,037 57,112 28,556 14,278 7,139 21,418 10,709 32,128 16,064 8,032 4,016 2,008 1,004 502 251 754 377 1,132 566 283 850 425 1,276 638

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