7,122,565

5 × 1424513

Starting at 7,122,565, the Collatz iteration reaches 1 after 103 steps. The first transition is 21367696; the starting value is odd with 4 positive divisors.

Prime Factor Structure

Factorization String 5 × 1424513

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 8,547,084

Proper Divisor Sum 1,424,519

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #7122559 ← → #7122593

Radix Representation

Decimal	7122565
Binary	11011001010111010000101 (23 bits)
Octal	0o33127205
Hexadecimal	0x6CAE85

Divisor Catalog (4)

1 5 1,424,513 7,122,565

Collatz Trajectory (103 steps to reach 1)

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

7,122,565 21,367,696 10,683,848 5,341,924 2,670,962 1,335,481 4,006,444 2,003,222 1,001,611 3,004,834 1,502,417 4,507,252 2,253,626 1,126,813 3,380,440 1,690,220 845,110 422,555 1,267,666 633,833 1,901,500 950,750 475,375 1,426,126 713,063 2,139,190 1,069,595 3,208,786 1,604,393 4,813,180 2,406,590 1,203,295 3,609,886 1,804,943 5,414,830 2,707,415 8,122,246 4,061,123 12,183,370 6,091,685 18,275,056 9,137,528 4,568,764 2,284,382 1,142,191 3,426,574 1,713,287 5,139,862 2,569,931 7,709,794 3,854,897 11,564,692 5,782,346 2,891,173 8,673,520 4,336,760 2,168,380 1,084,190 542,095 1,626,286

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