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Ratio Atlas
Atlas › Integer Profiles › Node 41,999,012

41,999,012

22 × 11 × 23 × 47 × 883
Abundant Even Composite

41,999,012 factors as 2^2 × 11 × 23 × 47 × 883. Its 48 positive divisors give a proper-divisor sum of 43,543,900, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^2 × 11 × 23 × 47 × 883
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 85,542,912
Proper Divisor Sum 43,543,900
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #41998969 ← → #41999029

Radix Representation

Decimal 41999012
Binary 10100000001101101010100100 (26 bits)
Octal 0o240155244
Hexadecimal 0x280DAA4

Divisor Catalog (48)

1 2 4 11 22 23 44 46 47 92 94 188 253 506 517 883 1,012 1,034 1,081 1,766 2,068 2,162 3,532 4,324 9,713 11,891 19,426 20,309 23,782 38,852 40,618 41,501 47,564 81,236 83,002 166,004 223,399 446,798 456,511 893,596 913,022 954,523 1,826,044 1,909,046 3,818,092 10,499,753 20,999,506 41,999,012

Collatz Trajectory (266 steps to reach 1)

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

41,999,012 20,999,506 10,499,753 31,499,260 15,749,630 7,874,815 23,624,446 11,812,223 35,436,670 17,718,335 53,155,006 26,577,503 79,732,510 39,866,255 119,598,766 59,799,383 179,398,150 89,699,075 269,097,226 134,548,613 403,645,840 201,822,920 100,911,460 50,455,730 25,227,865 75,683,596 37,841,798 18,920,899 56,762,698 28,381,349 85,144,048 42,572,024 21,286,012 10,643,006 5,321,503 15,964,510 7,982,255 23,946,766 11,973,383 35,920,150 17,960,075 53,880,226 26,940,113 80,820,340 40,410,170 20,205,085 60,615,256 30,307,628 15,153,814 7,576,907 22,730,722 11,365,361 34,096,084 17,048,042 8,524,021 25,572,064 12,786,032 6,393,016 3,196,508 1,598,254

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