921,729

3 × 307243

Starting at 921,729, the Collatz iteration reaches 1 after 201 steps. The first transition is 2765188; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 3 × 307243

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 1,228,976

Proper Divisor Sum 307,247

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #921703 ← → #921733

Radix Representation

Decimal	921729
Binary	11100001000010000001 (20 bits)
Octal	0o3410201
Hexadecimal	0xE1081

Divisor Catalog (4)

1 3 307,243 921,729

Collatz Trajectory (201 steps to reach 1)

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

921,729 2,765,188 1,382,594 691,297 2,073,892 1,036,946 518,473 1,555,420 777,710 388,855 1,166,566 583,283 1,749,850 874,925 2,624,776 1,312,388 656,194 328,097 984,292 492,146 246,073 738,220 369,110 184,555 553,666 276,833 830,500 415,250 207,625 622,876 311,438 155,719 467,158 233,579 700,738 350,369 1,051,108 525,554 262,777 788,332 394,166 197,083 591,250 295,625 886,876 443,438 221,719 665,158 332,579 997,738 498,869 1,496,608 748,304 374,152 187,076 93,538 46,769 140,308 70,154 35,077

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