3,882,663

3² × 151 × 2857

Starting at 3,882,663, the Collatz iteration reaches 1 after 141 steps. The first transition is 11647990; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 151 × 2857

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 5,647,408

Proper Divisor Sum 1,764,745

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #3882661 ← → #3882667

Radix Representation

Decimal	3882663
Binary	1110110011111010100111 (22 bits)
Octal	0o16637247
Hexadecimal	0x3B3EA7

Divisor Catalog (12)

1 3 9 151 453 1,359 2,857 8,571 25,713 431,407 1,294,221 3,882,663

Collatz Trajectory (141 steps to reach 1)

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

3,882,663 11,647,990 5,823,995 17,471,986 8,735,993 26,207,980 13,103,990 6,551,995 19,655,986 9,827,993 29,483,980 14,741,990 7,370,995 22,112,986 11,056,493 33,169,480 16,584,740 8,292,370 4,146,185 12,438,556 6,219,278 3,109,639 9,328,918 4,664,459 13,993,378 6,996,689 20,990,068 10,495,034 5,247,517 15,742,552 7,871,276 3,935,638 1,967,819 5,903,458 2,951,729 8,855,188 4,427,594 2,213,797 6,641,392 3,320,696 1,660,348 830,174 415,087 1,245,262 622,631 1,867,894 933,947 2,801,842 1,400,921 4,202,764 2,101,382 1,050,691 3,152,074 1,576,037 4,728,112 2,364,056 1,182,028 591,014 295,507 886,522

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