3,292,353

3³ × 61 × 1999

Starting at 3,292,353, the Collatz iteration reaches 1 after 164 steps. The first transition is 9877060; the starting value is odd with 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 61 × 1999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 4,960,000

Proper Divisor Sum 1,667,647

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #3292351 ← → #3292369

Radix Representation

Decimal	3292353
Binary	1100100011110011000001 (22 bits)
Octal	0o14436301
Hexadecimal	0x323CC1

Divisor Catalog (16)

1 3 9 27 61 183 549 1,647 1,999 5,997 17,991 53,973 121,939 365,817 1,097,451 3,292,353

Collatz Trajectory (164 steps to reach 1)

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

3,292,353 9,877,060 4,938,530 2,469,265 7,407,796 3,703,898 1,851,949 5,555,848 2,777,924 1,388,962 694,481 2,083,444 1,041,722 520,861 1,562,584 781,292 390,646 195,323 585,970 292,985 878,956 439,478 219,739 659,218 329,609 988,828 494,414 247,207 741,622 370,811 1,112,434 556,217 1,668,652 834,326 417,163 1,251,490 625,745 1,877,236 938,618 469,309 1,407,928 703,964 351,982 175,991 527,974 263,987 791,962 395,981 1,187,944 593,972 296,986 148,493 445,480 222,740 111,370 55,685 167,056 83,528 41,764 20,882

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