7,117,232

2⁴ × 163 × 2729

Starting at 7,117,232, the Collatz iteration reaches 1 after 266 steps. The first transition is 3558616; the starting value is even with 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 163 × 2729

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 20

Divisor Sum (σ) 13,879,320

Proper Divisor Sum 6,762,088

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #7117199 ← → #7117277

Radix Representation

Decimal	7117232
Binary	11011001001100110110000 (23 bits)
Octal	0o33114660
Hexadecimal	0x6C99B0

Divisor Catalog (20)

1 2 4 8 16 163 326 652 1,304 2,608 2,729 5,458 10,916 21,832 43,664 444,827 889,654 1,779,308 3,558,616 7,117,232

Collatz Trajectory (266 steps to reach 1)

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

7,117,232 3,558,616 1,779,308 889,654 444,827 1,334,482 667,241 2,001,724 1,000,862 500,431 1,501,294 750,647 2,251,942 1,125,971 3,377,914 1,688,957 5,066,872 2,533,436 1,266,718 633,359 1,900,078 950,039 2,850,118 1,425,059 4,275,178 2,137,589 6,412,768 3,206,384 1,603,192 801,596 400,798 200,399 601,198 300,599 901,798 450,899 1,352,698 676,349 2,029,048 1,014,524 507,262 253,631 760,894 380,447 1,141,342 570,671 1,712,014 856,007 2,568,022 1,284,011 3,852,034 1,926,017 5,778,052 2,889,026 1,444,513 4,333,540 2,166,770 1,083,385 3,250,156 1,625,078

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