λ
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Atlas › Integer Profiles › Node 41,835,850

41,835,850

2 × 52 × 7 × 23 × 5197
Abundant Even Composite

41,835,850 factors as 2 × 5^2 × 7 × 23 × 5197. Its 48 positive divisors give a proper-divisor sum of 50,979,638, so this integer is abundant. The Collatz stopping time is 147 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 7 × 23 × 5197
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 92,815,488
Proper Divisor Sum 50,979,638
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #41835847 ← → #41835851

Radix Representation

Decimal 41835850
Binary 10011111100101110101001010 (26 bits)
Octal 0o237456512
Hexadecimal 0x27E5D4A

Divisor Catalog (48)

1 2 5 7 10 14 23 25 35 46 50 70 115 161 175 230 322 350 575 805 1,150 1,610 4,025 5,197 8,050 10,394 25,985 36,379 51,970 72,758 119,531 129,925 181,895 239,062 259,850 363,790 597,655 836,717 909,475 1,195,310 1,673,434 1,818,950 2,988,275 4,183,585 5,976,550 8,367,170 20,917,925 41,835,850

Collatz Trajectory (147 steps to reach 1)

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

41,835,850 20,917,925 62,753,776 31,376,888 15,688,444 7,844,222 3,922,111 11,766,334 5,883,167 17,649,502 8,824,751 26,474,254 13,237,127 39,711,382 19,855,691 59,567,074 29,783,537 89,350,612 44,675,306 22,337,653 67,012,960 33,506,480 16,753,240 8,376,620 4,188,310 2,094,155 6,282,466 3,141,233 9,423,700 4,711,850 2,355,925 7,067,776 3,533,888 1,766,944 883,472 441,736 220,868 110,434 55,217 165,652 82,826 41,413 124,240 62,120 31,060 15,530 7,765 23,296 11,648 5,824 2,912 1,456 728 364 182 91 274 137 412 206

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