41,002,665

3 × 5 × 11² × 19 × 29 × 41

41,002,665 factors as 3 × 5 × 11^2 × 19 × 29 × 41. Its 96 positive divisors give a proper-divisor sum of 39,435,735, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3 × 5 × 11^2 × 19 × 29 × 41

Distinct Prime Factors 6

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 96

Divisor Sum (σ) 80,438,400

Proper Divisor Sum 39,435,735

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #41002649 ← → #41002673

Radix Representation

Decimal	41002665
Binary	10011100011010011010101001 (26 bits)
Octal	0o234323251
Hexadecimal	0x271A6A9

Divisor Catalog (60 of 96)

1 3 5 11 15 19 29 33 41 55 57 87 95 121 123 145 165 205 209 285 319 363 435 451 551 605 615 627 779 957 1,045 1,189 1,353 1,595 1,653 1,815 2,255 2,299 2,337 2,755 3,135 3,509 3,567 3,895 4,785 4,961 5,945 6,061 6,765 6,897 8,265 8,569 10,527 11,495 11,685 13,079 14,883 17,545 17,835 18,183

Collatz Trajectory (191 steps to reach 1)

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

41,002,665 123,007,996 61,503,998 30,751,999 92,255,998 46,127,999 138,383,998 69,191,999 207,575,998 103,787,999 311,363,998 155,681,999 467,045,998 233,522,999 700,568,998 350,284,499 1,050,853,498 525,426,749 1,576,280,248 788,140,124 394,070,062 197,035,031 591,105,094 295,552,547 886,657,642 443,328,821 1,329,986,464 664,993,232 332,496,616 166,248,308 83,124,154 41,562,077 124,686,232 62,343,116 31,171,558 15,585,779 46,757,338 23,378,669 70,136,008 35,068,004 17,534,002 8,767,001 26,301,004 13,150,502 6,575,251 19,725,754 9,862,877 29,588,632 14,794,316 7,397,158 3,698,579 11,095,738 5,547,869 16,643,608 8,321,804 4,160,902 2,080,451 6,241,354 3,120,677 9,362,032

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