3,658,638

2 × 3 × 17 × 35869

Starting at 3,658,638, the Collatz iteration reaches 1 after 141 steps. The first transition is 1829319; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 17 × 35869

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 7,747,920

Proper Divisor Sum 4,089,282

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #3658637 ← → #3658639

Radix Representation

Decimal	3658638
Binary	1101111101001110001110 (22 bits)
Octal	0o15751616
Hexadecimal	0x37D38E

Divisor Catalog (16)

1 2 3 6 17 34 51 102 35,869 71,738 107,607 215,214 609,773 1,219,546 1,829,319 3,658,638

Collatz Trajectory (141 steps to reach 1)

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

3,658,638 1,829,319 5,487,958 2,743,979 8,231,938 4,115,969 12,347,908 6,173,954 3,086,977 9,260,932 4,630,466 2,315,233 6,945,700 3,472,850 1,736,425 5,209,276 2,604,638 1,302,319 3,906,958 1,953,479 5,860,438 2,930,219 8,790,658 4,395,329 13,185,988 6,592,994 3,296,497 9,889,492 4,944,746 2,472,373 7,417,120 3,708,560 1,854,280 927,140 463,570 231,785 695,356 347,678 173,839 521,518 260,759 782,278 391,139 1,173,418 586,709 1,760,128 880,064 440,032 220,016 110,008 55,004 27,502 13,751 41,254 20,627 61,882 30,941 92,824 46,412 23,206

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