3,419,952

2⁴ × 3 × 71249

Starting at 3,419,952, the Collatz iteration reaches 1 after 221 steps. The first transition is 1709976; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 71249

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 8,835,000

Proper Divisor Sum 5,415,048

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #3419921 ← → #3419953

Radix Representation

Decimal	3419952
Binary	1101000010111100110000 (22 bits)
Octal	0o15027460
Hexadecimal	0x342F30

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 71,249 142,498 213,747 284,996 427,494 569,992 854,988 1,139,984 1,709,976 3,419,952

Collatz Trajectory (221 steps to reach 1)

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

3,419,952 1,709,976 854,988 427,494 213,747 641,242 320,621 961,864 480,932 240,466 120,233 360,700 180,350 90,175 270,526 135,263 405,790 202,895 608,686 304,343 913,030 456,515 1,369,546 684,773 2,054,320 1,027,160 513,580 256,790 128,395 385,186 192,593 577,780 288,890 144,445 433,336 216,668 108,334 54,167 162,502 81,251 243,754 121,877 365,632 182,816 91,408 45,704 22,852 11,426 5,713 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617

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