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Atlas › Integer Profiles › Node 36,088,140

36,088,140

22 × 3 × 5 × 11 × 54679
Abundant Even Composite

36,088,140 factors as 2^2 × 3 × 5 × 11 × 54679. Its 48 positive divisors give a proper-divisor sum of 74,146,740, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 11 × 54679
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 110,234,880
Proper Divisor Sum 74,146,740
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36088139 ← → #36088147

Radix Representation

Decimal 36088140
Binary 10001001101010100101001100 (26 bits)
Octal 0o211524514
Hexadecimal 0x226A94C

Divisor Catalog (48)

1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 54,679 109,358 164,037 218,716 273,395 328,074 546,790 601,469 656,148 820,185 1,093,580 1,202,938 1,640,370 1,804,407 2,405,876 3,007,345 3,280,740 3,608,814 6,014,690 7,217,628 9,022,035 12,029,380 18,044,070 36,088,140

Collatz Trajectory (113 steps to reach 1)

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

36,088,140 18,044,070 9,022,035 27,066,106 13,533,053 40,599,160 20,299,580 10,149,790 5,074,895 15,224,686 7,612,343 22,837,030 11,418,515 34,255,546 17,127,773 51,383,320 25,691,660 12,845,830 6,422,915 19,268,746 9,634,373 28,903,120 14,451,560 7,225,780 3,612,890 1,806,445 5,419,336 2,709,668 1,354,834 677,417 2,032,252 1,016,126 508,063 1,524,190 762,095 2,286,286 1,143,143 3,429,430 1,714,715 5,144,146 2,572,073 7,716,220 3,858,110 1,929,055 5,787,166 2,893,583 8,680,750 4,340,375 13,021,126 6,510,563 19,531,690 9,765,845 29,297,536 14,648,768 7,324,384 3,662,192 1,831,096 915,548 457,774 228,887

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