7,585,834

2 × 3792917

Starting at 7,585,834, the Collatz iteration reaches 1 after 323 steps. The first transition is 3792917; the starting value is even with 4 positive divisors.

Prime Factor Structure

Factorization String 2 × 3792917

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 11,378,754

Proper Divisor Sum 3,792,920

Digit Sum / Digital Root 40 (Root: 4)

Adjacent Primes #7585813 ← → #7585843

Radix Representation

Decimal	7585834
Binary	11100111100000000101010 (23 bits)
Octal	0o34740052
Hexadecimal	0x73C02A

Divisor Catalog (4)

1 2 3,792,917 7,585,834

Collatz Trajectory (323 steps to reach 1)

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

7,585,834 3,792,917 11,378,752 5,689,376 2,844,688 1,422,344 711,172 355,586 177,793 533,380 266,690 133,345 400,036 200,018 100,009 300,028 150,014 75,007 225,022 112,511 337,534 168,767 506,302 253,151 759,454 379,727 1,139,182 569,591 1,708,774 854,387 2,563,162 1,281,581 3,844,744 1,922,372 961,186 480,593 1,441,780 720,890 360,445 1,081,336 540,668 270,334 135,167 405,502 202,751 608,254 304,127 912,382 456,191 1,368,574 684,287 2,052,862 1,026,431 3,079,294 1,539,647 4,618,942 2,309,471 6,928,414 3,464,207 10,392,622

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