41,746,914

2 × 3⁶ × 11 × 19 × 137

41,746,914 factors as 2 × 3^6 × 11 × 19 × 137. Its 112 positive divisors give a proper-divisor sum of 66,853,566, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2 × 3^6 × 11 × 19 × 137

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 112

Divisor Sum (σ) 108,600,480

Proper Divisor Sum 66,853,566

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #41746879 ← → #41746919

Radix Representation

Decimal	41746914
Binary	10011111010000000111100010 (26 bits)
Octal	0o237200742
Hexadecimal	0x27D01E2

Divisor Catalog (60 of 112)

1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 81 99 114 137 162 171 198 209 243 274 297 342 411 418 486 513 594 627 729 822 891 1,026 1,233 1,254 1,458 1,507 1,539 1,782 1,881 2,466 2,603 2,673 3,014 3,078 3,699 3,762 4,521 4,617 5,206 5,346 5,643 7,398 7,809 8,019 9,042

Collatz Trajectory (178 steps to reach 1)

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

41,746,914 20,873,457 62,620,372 31,310,186 15,655,093 46,965,280 23,482,640 11,741,320 5,870,660 2,935,330 1,467,665 4,402,996 2,201,498 1,100,749 3,302,248 1,651,124 825,562 412,781 1,238,344 619,172 309,586 154,793 464,380 232,190 116,095 348,286 174,143 522,430 261,215 783,646 391,823 1,175,470 587,735 1,763,206 881,603 2,644,810 1,322,405 3,967,216 1,983,608 991,804 495,902 247,951 743,854 371,927 1,115,782 557,891 1,673,674 836,837 2,510,512 1,255,256 627,628 313,814 156,907 470,722 235,361 706,084 353,042 176,521 529,564 264,782

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