7,285,506

2 × 3 × 769 × 1579

Starting at 7,285,506, the Collatz iteration reaches 1 after 204 steps. The first transition is 3642753; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 769 × 1579

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 14,599,200

Proper Divisor Sum 7,313,694

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7285501 ← → #7285507

Radix Representation

Decimal	7285506
Binary	11011110010101100000010 (23 bits)
Octal	0o33625402
Hexadecimal	0x6F2B02

Divisor Catalog (16)

1 2 3 6 769 1,538 1,579 2,307 3,158 4,614 4,737 9,474 1,214,251 2,428,502 3,642,753 7,285,506

Collatz Trajectory (204 steps to reach 1)

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

7,285,506 3,642,753 10,928,260 5,464,130 2,732,065 8,196,196 4,098,098 2,049,049 6,147,148 3,073,574 1,536,787 4,610,362 2,305,181 6,915,544 3,457,772 1,728,886 864,443 2,593,330 1,296,665 3,889,996 1,944,998 972,499 2,917,498 1,458,749 4,376,248 2,188,124 1,094,062 547,031 1,641,094 820,547 2,461,642 1,230,821 3,692,464 1,846,232 923,116 461,558 230,779 692,338 346,169 1,038,508 519,254 259,627 778,882 389,441 1,168,324 584,162 292,081 876,244 438,122 219,061 657,184 328,592 164,296 82,148 41,074 20,537 61,612 30,806 15,403 46,210

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