9,839,325

3 × 5² × 127 × 1033

Starting at 9,839,325, the Collatz iteration reaches 1 after 207 steps. The first transition is 29517976; the starting value is odd with 24 positive divisors.

Prime Factor Structure

Factorization String 3 × 5^2 × 127 × 1033

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 16,411,648

Proper Divisor Sum 6,572,323

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #9839287 ← → #9839329

Radix Representation

Decimal	9839325
Binary	100101100010001011011101 (24 bits)
Octal	0o45421335
Hexadecimal	0x9622DD

Divisor Catalog (24)

1 3 5 15 25 75 127 381 635 1,033 1,905 3,099 3,175 5,165 9,525 15,495 25,825 77,475 131,191 393,573 655,955 1,967,865 3,279,775 9,839,325

Collatz Trajectory (207 steps to reach 1)

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

9,839,325 29,517,976 14,758,988 7,379,494 3,689,747 11,069,242 5,534,621 16,603,864 8,301,932 4,150,966 2,075,483 6,226,450 3,113,225 9,339,676 4,669,838 2,334,919 7,004,758 3,502,379 10,507,138 5,253,569 15,760,708 7,880,354 3,940,177 11,820,532 5,910,266 2,955,133 8,865,400 4,432,700 2,216,350 1,108,175 3,324,526 1,662,263 4,986,790 2,493,395 7,480,186 3,740,093 11,220,280 5,610,140 2,805,070 1,402,535 4,207,606 2,103,803 6,311,410 3,155,705 9,467,116 4,733,558 2,366,779 7,100,338 3,550,169 10,650,508 5,325,254 2,662,627 7,987,882 3,993,941 11,981,824 5,990,912 2,995,456 1,497,728 748,864 374,432

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