8,300,241

3² × 109 × 8461

Starting at 8,300,241, the Collatz iteration reaches 1 after 137 steps. The first transition is 24900724; the starting value is odd with 12 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 109 × 8461

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 12,100,660

Proper Divisor Sum 3,800,419

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #8300239 ← → #8300261

Radix Representation

Decimal	8300241
Binary	11111101010011011010001 (23 bits)
Octal	0o37523321
Hexadecimal	0x7EA6D1

Divisor Catalog (12)

1 3 9 109 327 981 8,461 25,383 76,149 922,249 2,766,747 8,300,241

Collatz Trajectory (137 steps to reach 1)

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

8,300,241 24,900,724 12,450,362 6,225,181 18,675,544 9,337,772 4,668,886 2,334,443 7,003,330 3,501,665 10,504,996 5,252,498 2,626,249 7,878,748 3,939,374 1,969,687 5,909,062 2,954,531 8,863,594 4,431,797 13,295,392 6,647,696 3,323,848 1,661,924 830,962 415,481 1,246,444 623,222 311,611 934,834 467,417 1,402,252 701,126 350,563 1,051,690 525,845 1,577,536 788,768 394,384 197,192 98,596 49,298 24,649 73,948 36,974 18,487 55,462 27,731 83,194 41,597 124,792 62,396 31,198 15,599 46,798 23,399 70,198 35,099 105,298 52,649

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