6,232,729

109 × 211 × 271

Starting at 6,232,729, the Collatz iteration reaches 1 after 227 steps. The first transition is 18698188; the starting value is odd with 8 positive divisors.

Prime Factor Structure

Factorization String 109 × 211 × 271

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 6,343,040

Proper Divisor Sum 110,311

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #6232679 ← → #6232753

Radix Representation

Decimal	6232729
Binary	10111110001101010011001 (23 bits)
Octal	0o27615231
Hexadecimal	0x5F1A99

Divisor Catalog (8)

1 109 211 271 22,999 29,539 57,181 6,232,729

Collatz Trajectory (227 steps to reach 1)

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

6,232,729 18,698,188 9,349,094 4,674,547 14,023,642 7,011,821 21,035,464 10,517,732 5,258,866 2,629,433 7,888,300 3,944,150 1,972,075 5,916,226 2,958,113 8,874,340 4,437,170 2,218,585 6,655,756 3,327,878 1,663,939 4,991,818 2,495,909 7,487,728 3,743,864 1,871,932 935,966 467,983 1,403,950 701,975 2,105,926 1,052,963 3,158,890 1,579,445 4,738,336 2,369,168 1,184,584 592,292 296,146 148,073 444,220 222,110 111,055 333,166 166,583 499,750 249,875 749,626 374,813 1,124,440 562,220 281,110 140,555 421,666 210,833 632,500 316,250 158,125 474,376 237,188

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