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Atlas › Integer Profiles › Node 36,909,158

36,909,158

2 × 11 × 13 × 23 × 31 × 181
Deficient Even Composite

36,909,158 factors as 2 × 11 × 13 × 23 × 31 × 181. Its 64 positive divisors give a proper-divisor sum of 33,537,946, so this integer is deficient. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 11 × 13 × 23 × 31 × 181
Distinct Prime Factors 6
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 70,447,104
Proper Divisor Sum 33,537,946
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #36909139 ← → #36909163

Radix Representation

Decimal 36909158
Binary 10001100110011000001100110 (26 bits)
Octal 0o214630146
Hexadecimal 0x2333066

Divisor Catalog (60 of 64)

1 2 11 13 22 23 26 31 46 62 143 181 253 286 299 341 362 403 506 598 682 713 806 1,426 1,991 2,353 3,289 3,982 4,163 4,433 4,706 5,611 6,578 7,843 8,326 8,866 9,269 11,222 15,686 18,538 25,883 45,793 51,766 54,119 61,721 72,943 91,586 101,959 108,238 123,442 129,053 145,886 203,918 258,106 595,309 802,373 1,190,618 1,419,583 1,604,746 1,677,689

Collatz Trajectory (103 steps to reach 1)

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

36,909,158 18,454,579 55,363,738 27,681,869 83,045,608 41,522,804 20,761,402 10,380,701 31,142,104 15,571,052 7,785,526 3,892,763 11,678,290 5,839,145 17,517,436 8,758,718 4,379,359 13,138,078 6,569,039 19,707,118 9,853,559 29,560,678 14,780,339 44,341,018 22,170,509 66,511,528 33,255,764 16,627,882 8,313,941 24,941,824 12,470,912 6,235,456 3,117,728 1,558,864 779,432 389,716 194,858 97,429 292,288 146,144 73,072 36,536 18,268 9,134 4,567 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506

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