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Atlas › Integer Profiles › Node 41,325,950

41,325,950

2 × 52 × 19 × 41 × 1061
Abundant Even Composite

41,325,950 factors as 2 × 5^2 × 19 × 41 × 1061. Its 48 positive divisors give a proper-divisor sum of 41,637,490, so this integer is abundant. The Collatz stopping time is 284 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 19 × 41 × 1061
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 82,963,440
Proper Divisor Sum 41,637,490
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #41325943 ← → #41325959

Radix Representation

Decimal 41325950
Binary 10011101101001010101111110 (26 bits)
Octal 0o235512576
Hexadecimal 0x276957E

Divisor Catalog (48)

1 2 5 10 19 25 38 41 50 82 95 190 205 410 475 779 950 1,025 1,061 1,558 2,050 2,122 3,895 5,305 7,790 10,610 19,475 20,159 26,525 38,950 40,318 43,501 53,050 87,002 100,795 201,590 217,505 435,010 503,975 826,519 1,007,950 1,087,525 1,653,038 2,175,050 4,132,595 8,265,190 20,662,975 41,325,950

Collatz Trajectory (284 steps to reach 1)

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

41,325,950 20,662,975 61,988,926 30,994,463 92,983,390 46,491,695 139,475,086 69,737,543 209,212,630 104,606,315 313,818,946 156,909,473 470,728,420 235,364,210 117,682,105 353,046,316 176,523,158 88,261,579 264,784,738 132,392,369 397,177,108 198,588,554 99,294,277 297,882,832 148,941,416 74,470,708 37,235,354 18,617,677 55,853,032 27,926,516 13,963,258 6,981,629 20,944,888 10,472,444 5,236,222 2,618,111 7,854,334 3,927,167 11,781,502 5,890,751 17,672,254 8,836,127 26,508,382 13,254,191 39,762,574 19,881,287 59,643,862 29,821,931 89,465,794 44,732,897 134,198,692 67,099,346 33,549,673 100,649,020 50,324,510 25,162,255 75,486,766 37,743,383 113,230,150 56,615,075

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