4,123,167

3 × 449 × 3061

Starting at 4,123,167, the Collatz iteration reaches 1 after 185 steps. The first transition is 12369502; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 449 × 3061

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 5,511,600

Proper Divisor Sum 1,388,433

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #4123153 ← → #4123181

Radix Representation

Decimal	4123167
Binary	1111101110101000011111 (22 bits)
Octal	0o17565037
Hexadecimal	0x3EEA1F

Divisor Catalog (8)

1 3 449 1,347 3,061 9,183 1,374,389 4,123,167

Collatz Trajectory (185 steps to reach 1)

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

4,123,167 12,369,502 6,184,751 18,554,254 9,277,127 27,831,382 13,915,691 41,747,074 20,873,537 62,620,612 31,310,306 15,655,153 46,965,460 23,482,730 11,741,365 35,224,096 17,612,048 8,806,024 4,403,012 2,201,506 1,100,753 3,302,260 1,651,130 825,565 2,476,696 1,238,348 619,174 309,587 928,762 464,381 1,393,144 696,572 348,286 174,143 522,430 261,215 783,646 391,823 1,175,470 587,735 1,763,206 881,603 2,644,810 1,322,405 3,967,216 1,983,608 991,804 495,902 247,951 743,854 371,927 1,115,782 557,891 1,673,674 836,837 2,510,512 1,255,256 627,628 313,814 156,907

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