7,904,508

2² × 3 × 193 × 3413

Starting at 7,904,508, the Collatz iteration reaches 1 after 186 steps. The first transition is 3952254; the starting value is even with 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 193 × 3413

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 18,544,848

Proper Divisor Sum 10,640,340

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7904483 ← → #7904509

Radix Representation

Decimal	7904508
Binary	11110001001110011111100 (23 bits)
Octal	0o36116374
Hexadecimal	0x789CFC

Divisor Catalog (24)

1 2 3 4 6 12 193 386 579 772 1,158 2,316 3,413 6,826 10,239 13,652 20,478 40,956 658,709 1,317,418 1,976,127 2,634,836 3,952,254 7,904,508

Collatz Trajectory (186 steps to reach 1)

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

7,904,508 3,952,254 1,976,127 5,928,382 2,964,191 8,892,574 4,446,287 13,338,862 6,669,431 20,008,294 10,004,147 30,012,442 15,006,221 45,018,664 22,509,332 11,254,666 5,627,333 16,882,000 8,441,000 4,220,500 2,110,250 1,055,125 3,165,376 1,582,688 791,344 395,672 197,836 98,918 49,459 148,378 74,189 222,568 111,284 55,642 27,821 83,464 41,732 20,866 10,433 31,300 15,650 7,825 23,476 11,738 5,869 17,608 8,804 4,402 2,201 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394

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