4,132,649

17 × 283 × 859

Starting at 4,132,649, the Collatz iteration reaches 1 after 110 steps. The first transition is 12397948; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 17 × 283 × 859

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,396,320

Proper Divisor Sum 263,671

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #4132643 ← → #4132673

Radix Representation

Decimal	4132649
Binary	1111110000111100101001 (22 bits)
Octal	0o17607451
Hexadecimal	0x3F0F29

Divisor Catalog (8)

1 17 283 859 4,811 14,603 243,097 4,132,649

Collatz Trajectory (110 steps to reach 1)

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

4,132,649 12,397,948 6,198,974 3,099,487 9,298,462 4,649,231 13,947,694 6,973,847 20,921,542 10,460,771 31,382,314 15,691,157 47,073,472 23,536,736 11,768,368 5,884,184 2,942,092 1,471,046 735,523 2,206,570 1,103,285 3,309,856 1,654,928 827,464 413,732 206,866 103,433 310,300 155,150 77,575 232,726 116,363 349,090 174,545 523,636 261,818 130,909 392,728 196,364 98,182 49,091 147,274 73,637 220,912 110,456 55,228 27,614 13,807 41,422 20,711 62,134 31,067 93,202 46,601 139,804 69,902 34,951 104,854 52,427 157,282

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