2,705,412

2² × 3 × 131 × 1721

Starting at 2,705,412, the Collatz iteration reaches 1 after 68 steps. The first transition is 1352706; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 131 × 1721

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,364,512

Proper Divisor Sum 3,659,100

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #2705383 ← → #2705413

Radix Representation

Decimal	2705412
Binary	1010010100100000000100 (22 bits)
Octal	0o12244004
Hexadecimal	0x294804

Divisor Catalog (24)

1 2 3 4 6 12 131 262 393 524 786 1,572 1,721 3,442 5,163 6,884 10,326 20,652 225,451 450,902 676,353 901,804 1,352,706 2,705,412

Collatz Trajectory (68 steps to reach 1)

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

2,705,412 1,352,706 676,353 2,029,060 1,014,530 507,265 1,521,796 760,898 380,449 1,141,348 570,674 285,337 856,012 428,006 214,003 642,010 321,005 963,016 481,508 240,754 120,377 361,132 180,566 90,283 270,850 135,425 406,276 203,138 101,569 304,708 152,354 76,177 228,532 114,266 57,133 171,400 85,700 42,850 21,425 64,276 32,138 16,069 48,208 24,104 12,052 6,026 3,013 9,040 4,520 2,260 1,130 565 1,696 848 424 212 106 53 160 80

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