7,345,282

2 × 7 × 307 × 1709

Starting at 7,345,282, the Collatz iteration reaches 1 after 204 steps. The first transition is 3672641; the starting value is even with 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 7 × 307 × 1709

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 12,640,320

Proper Divisor Sum 5,295,038

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7345271 ← → #7345291

Radix Representation

Decimal	7345282
Binary	11100000001010010000010 (23 bits)
Octal	0o34012202
Hexadecimal	0x701482

Divisor Catalog (16)

1 2 7 14 307 614 1,709 2,149 3,418 4,298 11,963 23,926 524,663 1,049,326 3,672,641 7,345,282

Collatz Trajectory (204 steps to reach 1)

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

7,345,282 3,672,641 11,017,924 5,508,962 2,754,481 8,263,444 4,131,722 2,065,861 6,197,584 3,098,792 1,549,396 774,698 387,349 1,162,048 581,024 290,512 145,256 72,628 36,314 18,157 54,472 27,236 13,618 6,809 20,428 10,214 5,107 15,322 7,661 22,984 11,492 5,746 2,873 8,620 4,310 2,155 6,466 3,233 9,700 4,850 2,425 7,276 3,638 1,819 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654

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