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Atlas › Integer Profiles › Node 41,536,690

41,536,690

2 × 5 × 13 × 41 × 7793
Deficient Even Composite

41,536,690 factors as 2 × 5 × 13 × 41 × 7793. Its 32 positive divisors give a proper-divisor sum of 40,955,006, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 2 × 5 × 13 × 41 × 7793
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 82,491,696
Proper Divisor Sum 40,955,006
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #41536657 ← → #41536697

Radix Representation

Decimal 41536690
Binary 10011110011100110010110010 (26 bits)
Octal 0o236346262
Hexadecimal 0x279CCB2

Divisor Catalog (32)

1 2 5 10 13 26 41 65 82 130 205 410 533 1,066 2,665 5,330 7,793 15,586 38,965 77,930 101,309 202,618 319,513 506,545 639,026 1,013,090 1,597,565 3,195,130 4,153,669 8,307,338 20,768,345 41,536,690

Collatz Trajectory (191 steps to reach 1)

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

41,536,690 20,768,345 62,305,036 31,152,518 15,576,259 46,728,778 23,364,389 70,093,168 35,046,584 17,523,292 8,761,646 4,380,823 13,142,470 6,571,235 19,713,706 9,856,853 29,570,560 14,785,280 7,392,640 3,696,320 1,848,160 924,080 462,040 231,020 115,510 57,755 173,266 86,633 259,900 129,950 64,975 194,926 97,463 292,390 146,195 438,586 219,293 657,880 328,940 164,470 82,235 246,706 123,353 370,060 185,030 92,515 277,546 138,773 416,320 208,160 104,080 52,040 26,020 13,010 6,505 19,516 9,758 4,879 14,638 7,319

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