4,181,634

2 × 3² × 19 × 12227

Starting at 4,181,634, the Collatz iteration reaches 1 after 167 steps. The first transition is 2090817; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 19 × 12227

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 9,537,840

Proper Divisor Sum 5,356,206

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4181633 ← → #4181657

Radix Representation

Decimal	4181634
Binary	1111111100111010000010 (22 bits)
Octal	0o17747202
Hexadecimal	0x3FCE82

Divisor Catalog (24)

1 2 3 6 9 18 19 38 57 114 171 342 12,227 24,454 36,681 73,362 110,043 220,086 232,313 464,626 696,939 1,393,878 2,090,817 4,181,634

Collatz Trajectory (167 steps to reach 1)

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

4,181,634 2,090,817 6,272,452 3,136,226 1,568,113 4,704,340 2,352,170 1,176,085 3,528,256 1,764,128 882,064 441,032 220,516 110,258 55,129 165,388 82,694 41,347 124,042 62,021 186,064 93,032 46,516 23,258 11,629 34,888 17,444 8,722 4,361 13,084 6,542 3,271 9,814 4,907 14,722 7,361 22,084 11,042 5,521 16,564 8,282 4,141 12,424 6,212 3,106 1,553 4,660 2,330 1,165 3,496 1,748 874 437 1,312 656 328 164 82 41 124

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