4,117,442

2 × 7 × 294103

Starting at 4,117,442, the Collatz iteration reaches 1 after 229 steps. The first transition is 2058721; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 294103

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 7,058,496

Proper Divisor Sum 2,941,054

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #4117441 ← → #4117453

Radix Representation

Decimal	4117442
Binary	1111101101001111000010 (22 bits)
Octal	0o17551702
Hexadecimal	0x3ED3C2

Divisor Catalog (8)

1 2 7 14 294,103 588,206 2,058,721 4,117,442

Collatz Trajectory (229 steps to reach 1)

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

4,117,442 2,058,721 6,176,164 3,088,082 1,544,041 4,632,124 2,316,062 1,158,031 3,474,094 1,737,047 5,211,142 2,605,571 7,816,714 3,908,357 11,725,072 5,862,536 2,931,268 1,465,634 732,817 2,198,452 1,099,226 549,613 1,648,840 824,420 412,210 206,105 618,316 309,158 154,579 463,738 231,869 695,608 347,804 173,902 86,951 260,854 130,427 391,282 195,641 586,924 293,462 146,731 440,194 220,097 660,292 330,146 165,073 495,220 247,610 123,805 371,416 185,708 92,854 46,427 139,282 69,641 208,924 104,462 52,231 156,694

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