3,404,661

3 × 13 × 87299

Starting at 3,404,661, the Collatz iteration reaches 1 after 128 steps. The first transition is 10213984; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 13 × 87299

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 4,888,800

Proper Divisor Sum 1,484,139

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #3404657 ← → #3404669

Radix Representation

Decimal	3404661
Binary	1100111111001101110101 (22 bits)
Octal	0o14771565
Hexadecimal	0x33F375

Divisor Catalog (8)

1 3 13 39 87,299 261,897 1,134,887 3,404,661

Collatz Trajectory (128 steps to reach 1)

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

3,404,661 10,213,984 5,106,992 2,553,496 1,276,748 638,374 319,187 957,562 478,781 1,436,344 718,172 359,086 179,543 538,630 269,315 807,946 403,973 1,211,920 605,960 302,980 151,490 75,745 227,236 113,618 56,809 170,428 85,214 42,607 127,822 63,911 191,734 95,867 287,602 143,801 431,404 215,702 107,851 323,554 161,777 485,332 242,666 121,333 364,000 182,000 91,000 45,500 22,750 11,375 34,126 17,063 51,190 25,595 76,786 38,393 115,180 57,590 28,795 86,386 43,193 129,580

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