4,108,284

2² × 3² × 139 × 821

Starting at 4,108,284, the Collatz iteration reaches 1 after 216 steps. The first transition is 2054142; the starting value is even with 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 139 × 821

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 10,472,280

Proper Divisor Sum 6,363,996

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #4108261 ← → #4108297

Radix Representation

Decimal	4108284
Binary	1111101010111111111100 (22 bits)
Octal	0o17527774
Hexadecimal	0x3EAFFC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 139 278 417 556 821 834 1,251 1,642 1,668 2,463 2,502 3,284 4,926 5,004 7,389 9,852 14,778 29,556 114,119 228,238 342,357 456,476 684,714 1,027,071 1,369,428 2,054,142 4,108,284

Collatz Trajectory (216 steps to reach 1)

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

4,108,284 2,054,142 1,027,071 3,081,214 1,540,607 4,621,822 2,310,911 6,932,734 3,466,367 10,399,102 5,199,551 15,598,654 7,799,327 23,397,982 11,698,991 35,096,974 17,548,487 52,645,462 26,322,731 78,968,194 39,484,097 118,452,292 59,226,146 29,613,073 88,839,220 44,419,610 22,209,805 66,629,416 33,314,708 16,657,354 8,328,677 24,986,032 12,493,016 6,246,508 3,123,254 1,561,627 4,684,882 2,342,441 7,027,324 3,513,662 1,756,831 5,270,494 2,635,247 7,905,742 3,952,871 11,858,614 5,929,307 17,787,922 8,893,961 26,681,884 13,340,942 6,670,471 20,011,414 10,005,707 30,017,122 15,008,561 45,025,684 22,512,842 11,256,421 33,769,264

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