3,812,283

3² × 423587

Starting at 3,812,283, the Collatz iteration reaches 1 after 110 steps. The first transition is 11436850; the starting value is odd with 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 423587

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 6

Divisor Sum (σ) 5,506,644

Proper Divisor Sum 1,694,361

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3812269 ← → #3812309

Radix Representation

Decimal	3812283
Binary	1110100010101110111011 (22 bits)
Octal	0o16425673
Hexadecimal	0x3A2BBB

Divisor Catalog (6)

1 3 9 423,587 1,270,761 3,812,283

Collatz Trajectory (110 steps to reach 1)

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

3,812,283 11,436,850 5,718,425 17,155,276 8,577,638 4,288,819 12,866,458 6,433,229 19,299,688 9,649,844 4,824,922 2,412,461 7,237,384 3,618,692 1,809,346 904,673 2,714,020 1,357,010 678,505 2,035,516 1,017,758 508,879 1,526,638 763,319 2,289,958 1,144,979 3,434,938 1,717,469 5,152,408 2,576,204 1,288,102 644,051 1,932,154 966,077 2,898,232 1,449,116 724,558 362,279 1,086,838 543,419 1,630,258 815,129 2,445,388 1,222,694 611,347 1,834,042 917,021 2,751,064 1,375,532 687,766 343,883 1,031,650 515,825 1,547,476 773,738 386,869 1,160,608 580,304 290,152 145,076

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