36,580,241

41² × 47 × 463

36,580,241 factors as 41^2 × 47 × 463. Its 12 positive divisors give a proper-divisor sum of 1,794,415, so this integer is deficient. The Collatz stopping time is 289 steps.

Prime Factor Structure

Factorization String 41^2 × 47 × 463

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 38,374,656

Proper Divisor Sum 1,794,415

Digit Sum / Digital Root 29 (Root: 2)

Adjacent Primes #36580237 ← → #36580249

Radix Representation

Decimal	36580241
Binary	10001011100010101110010001 (26 bits)
Octal	0o213425621
Hexadecimal	0x22E2B91

Divisor Catalog (12)

1 41 47 463 1,681 1,927 18,983 21,761 79,007 778,303 892,201 36,580,241

Collatz Trajectory (289 steps to reach 1)

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

36,580,241 109,740,724 54,870,362 27,435,181 82,305,544 41,152,772 20,576,386 10,288,193 30,864,580 15,432,290 7,716,145 23,148,436 11,574,218 5,787,109 17,361,328 8,680,664 4,340,332 2,170,166 1,085,083 3,255,250 1,627,625 4,882,876 2,441,438 1,220,719 3,662,158 1,831,079 5,493,238 2,746,619 8,239,858 4,119,929 12,359,788 6,179,894 3,089,947 9,269,842 4,634,921 13,904,764 6,952,382 3,476,191 10,428,574 5,214,287 15,642,862 7,821,431 23,464,294 11,732,147 35,196,442 17,598,221 52,794,664 26,397,332 13,198,666 6,599,333 19,798,000 9,899,000 4,949,500 2,474,750 1,237,375 3,712,126 1,856,063 5,568,190 2,784,095 8,352,286

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