41,009,769

3² × 79 × 57679

41,009,769 factors as 3^2 × 79 × 57679. Its 12 positive divisors give a proper-divisor sum of 18,977,431, so this integer is deficient. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 3^2 × 79 × 57679

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 59,987,200

Proper Divisor Sum 18,977,431

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #41009767 ← → #41009819

Radix Representation

Decimal	41009769
Binary	10011100011100001001101001 (26 bits)
Octal	0o234341151
Hexadecimal	0x271C269

Divisor Catalog (12)

1 3 9 79 237 711 57,679 173,037 519,111 4,556,641 13,669,923 41,009,769

Collatz Trajectory (266 steps to reach 1)

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

41,009,769 123,029,308 61,514,654 30,757,327 92,271,982 46,135,991 138,407,974 69,203,987 207,611,962 103,805,981 311,417,944 155,708,972 77,854,486 38,927,243 116,781,730 58,390,865 175,172,596 87,586,298 43,793,149 131,379,448 65,689,724 32,844,862 16,422,431 49,267,294 24,633,647 73,900,942 36,950,471 110,851,414 55,425,707 166,277,122 83,138,561 249,415,684 124,707,842 62,353,921 187,061,764 93,530,882 46,765,441 140,296,324 70,148,162 35,074,081 105,222,244 52,611,122 26,305,561 78,916,684 39,458,342 19,729,171 59,187,514 29,593,757 88,781,272 44,390,636 22,195,318 11,097,659 33,292,978 16,646,489 49,939,468 24,969,734 12,484,867 37,454,602 18,727,301 56,181,904

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