λ
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Atlas › Integer Profiles › Node 36,083,960

36,083,960

23 × 5 × 11 × 82009
Abundant Even Composite

36,083,960 factors as 2^3 × 5 × 11 × 82009. Its 32 positive divisors give a proper-divisor sum of 52,486,840, so this integer is abundant. The Collatz stopping time is 258 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 82009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 88,570,800
Proper Divisor Sum 52,486,840
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #36083953 ← → #36083963

Radix Representation

Decimal 36083960
Binary 10001001101001100011111000 (26 bits)
Octal 0o211514370
Hexadecimal 0x22698F8

Divisor Catalog (32)

1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 82,009 164,018 328,036 410,045 656,072 820,090 902,099 1,640,180 1,804,198 3,280,360 3,608,396 4,510,495 7,216,792 9,020,990 18,041,980 36,083,960

Collatz Trajectory (258 steps to reach 1)

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

36,083,960 18,041,980 9,020,990 4,510,495 13,531,486 6,765,743 20,297,230 10,148,615 30,445,846 15,222,923 45,668,770 22,834,385 68,503,156 34,251,578 17,125,789 51,377,368 25,688,684 12,844,342 6,422,171 19,266,514 9,633,257 28,899,772 14,449,886 7,224,943 21,674,830 10,837,415 32,512,246 16,256,123 48,768,370 24,384,185 73,152,556 36,576,278 18,288,139 54,864,418 27,432,209 82,296,628 41,148,314 20,574,157 61,722,472 30,861,236 15,430,618 7,715,309 23,145,928 11,572,964 5,786,482 2,893,241 8,679,724 4,339,862 2,169,931 6,509,794 3,254,897 9,764,692 4,882,346 2,441,173 7,323,520 3,661,760 1,830,880 915,440 457,720 228,860

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