3,159,422

2 × 7² × 103 × 313

Starting at 3,159,422, the Collatz iteration reaches 1 after 208 steps. The first transition is 1579711; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2 × 7^2 × 103 × 313

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 5,584,176

Proper Divisor Sum 2,424,754

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #3159421 ← → #3159437

Radix Representation

Decimal	3159422
Binary	1100000011010101111110 (22 bits)
Octal	0o14032576
Hexadecimal	0x30357E

Divisor Catalog (24)

1 2 7 14 49 98 103 206 313 626 721 1,442 2,191 4,382 5,047 10,094 15,337 30,674 32,239 64,478 225,673 451,346 1,579,711 3,159,422

Collatz Trajectory (208 steps to reach 1)

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

3,159,422 1,579,711 4,739,134 2,369,567 7,108,702 3,554,351 10,663,054 5,331,527 15,994,582 7,997,291 23,991,874 11,995,937 35,987,812 17,993,906 8,996,953 26,990,860 13,495,430 6,747,715 20,243,146 10,121,573 30,364,720 15,182,360 7,591,180 3,795,590 1,897,795 5,693,386 2,846,693 8,540,080 4,270,040 2,135,020 1,067,510 533,755 1,601,266 800,633 2,401,900 1,200,950 600,475 1,801,426 900,713 2,702,140 1,351,070 675,535 2,026,606 1,013,303 3,039,910 1,519,955 4,559,866 2,279,933 6,839,800 3,419,900 1,709,950 854,975 2,564,926 1,282,463 3,847,390 1,923,695 5,771,086 2,885,543 8,656,630 4,328,315

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