λ
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Atlas › Integer Profiles › Node 41,003,250

41,003,250

2 × 3 × 53 × 23 × 2377
Abundant Even Composite

41,003,250 factors as 2 × 3 × 5^3 × 23 × 2377. Its 64 positive divisors give a proper-divisor sum of 65,835,534, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^3 × 23 × 2377
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 106,838,784
Proper Divisor Sum 65,835,534
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #41003243 ← → #41003251

Radix Representation

Decimal 41003250
Binary 10011100011010100011110010 (26 bits)
Octal 0o234324362
Hexadecimal 0x271A8F2

Divisor Catalog (60 of 64)

1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 125 138 150 230 250 345 375 575 690 750 1,150 1,725 2,377 2,875 3,450 4,754 5,750 7,131 8,625 11,885 14,262 17,250 23,770 35,655 54,671 59,425 71,310 109,342 118,850 164,013 178,275 273,355 297,125 328,026 356,550 546,710 594,250 820,065 891,375 1,366,775 1,640,130 1,782,750 2,733,550 4,100,325 6,833,875

Collatz Trajectory (214 steps to reach 1)

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

41,003,250 20,501,625 61,504,876 30,752,438 15,376,219 46,128,658 23,064,329 69,192,988 34,596,494 17,298,247 51,894,742 25,947,371 77,842,114 38,921,057 116,763,172 58,381,586 29,190,793 87,572,380 43,786,190 21,893,095 65,679,286 32,839,643 98,518,930 49,259,465 147,778,396 73,889,198 36,944,599 110,833,798 55,416,899 166,250,698 83,125,349 249,376,048 124,688,024 62,344,012 31,172,006 15,586,003 46,758,010 23,379,005 70,137,016 35,068,508 17,534,254 8,767,127 26,301,382 13,150,691 39,452,074 19,726,037 59,178,112 29,589,056 14,794,528 7,397,264 3,698,632 1,849,316 924,658 462,329 1,386,988 693,494 346,747 1,040,242 520,121 1,560,364

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