7,166,289

3 × 13 × 53 × 3467

7,166,289 factors as 3 × 13 × 53 × 3467. Its 16 positive divisors give a proper-divisor sum of 3,320,943, so this integer is deficient. The Collatz stopping time is 204 steps.

Prime Factor Structure

Factorization String 3 × 13 × 53 × 3467

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 10,487,232

Proper Divisor Sum 3,320,943

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7166279 ← → #7166297

Radix Representation

Decimal	7166289
Binary	11011010101100101010001 (23 bits)
Octal	0o33254521
Hexadecimal	0x6D5951

Divisor Catalog (16)

1 3 13 39 53 159 689 2,067 3,467 10,401 45,071 135,213 183,751 551,253 2,388,763 7,166,289

Collatz Trajectory (204 steps to reach 1)

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

7,166,289 21,498,868 10,749,434 5,374,717 16,124,152 8,062,076 4,031,038 2,015,519 6,046,558 3,023,279 9,069,838 4,534,919 13,604,758 6,802,379 20,407,138 10,203,569 30,610,708 15,305,354 7,652,677 22,958,032 11,479,016 5,739,508 2,869,754 1,434,877 4,304,632 2,152,316 1,076,158 538,079 1,614,238 807,119 2,421,358 1,210,679 3,632,038 1,816,019 5,448,058 2,724,029 8,172,088 4,086,044 2,043,022 1,021,511 3,064,534 1,532,267 4,596,802 2,298,401 6,895,204 3,447,602 1,723,801 5,171,404 2,585,702 1,292,851 3,878,554 1,939,277 5,817,832 2,908,916 1,454,458 727,229 2,181,688 1,090,844 545,422 272,711

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