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Atlas › Integer Profiles › Node 41,003,772

41,003,772

22 × 3 × 41 × 83341
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 41 × 83341
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 98,010,192
Proper Divisor Sum 57,006,420
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #41003771 ← → #41003783

Radix Representation

Decimal 41003772
Binary 10011100011010101011111100 (26 bits)
Octal 0o234325374
Hexadecimal 0x271AAFC

Divisor Catalog (24)

1 2 3 4 6 12 41 82 123 164 246 492 83,341 166,682 250,023 333,364 500,046 1,000,092 3,416,981 6,833,962 10,250,943 13,667,924 20,501,886 41,003,772

Collatz Trajectory (147 steps to reach 1)

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

41,003,772 20,501,886 10,250,943 30,752,830 15,376,415 46,129,246 23,064,623 69,193,870 34,596,935 103,790,806 51,895,403 155,686,210 77,843,105 233,529,316 116,764,658 58,382,329 175,146,988 87,573,494 43,786,747 131,360,242 65,680,121 197,040,364 98,520,182 49,260,091 147,780,274 73,890,137 221,670,412 110,835,206 55,417,603 166,252,810 83,126,405 249,379,216 124,689,608 62,344,804 31,172,402 15,586,201 46,758,604 23,379,302 11,689,651 35,068,954 17,534,477 52,603,432 26,301,716 13,150,858 6,575,429 19,726,288 9,863,144 4,931,572 2,465,786 1,232,893 3,698,680 1,849,340 924,670 462,335 1,387,006 693,503 2,080,510 1,040,255 3,120,766 1,560,383

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