41,585,291

11 × 31 × 121951

41,585,291 factors as 11 × 31 × 121951. Its 8 positive divisors give a proper-divisor sum of 5,244,277, so this integer is deficient. The Collatz stopping time is 129 steps.

Prime Factor Structure

Factorization String 11 × 31 × 121951

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 46,829,568

Proper Divisor Sum 5,244,277

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #41585287 ← → #41585303

Radix Representation

Decimal	41585291
Binary	10011110101000101010001011 (26 bits)
Octal	0o236505213
Hexadecimal	0x27A8A8B

Divisor Catalog (8)

1 11 31 341 121,951 1,341,461 3,780,481 41,585,291

Collatz Trajectory (129 steps to reach 1)

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

41,585,291 124,755,874 62,377,937 187,133,812 93,566,906 46,783,453 140,350,360 70,175,180 35,087,590 17,543,795 52,631,386 26,315,693 78,947,080 39,473,540 19,736,770 9,868,385 29,605,156 14,802,578 7,401,289 22,203,868 11,101,934 5,550,967 16,652,902 8,326,451 24,979,354 12,489,677 37,469,032 18,734,516 9,367,258 4,683,629 14,050,888 7,025,444 3,512,722 1,756,361 5,269,084 2,634,542 1,317,271 3,951,814 1,975,907 5,927,722 2,963,861 8,891,584 4,445,792 2,222,896 1,111,448 555,724 277,862 138,931 416,794 208,397 625,192 312,596 156,298 78,149 234,448 117,224 58,612 29,306 14,653 43,960

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