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Atlas › Integer Profiles › Node 36,913,170

36,913,170

2 × 3 × 5 × 72 × 25111
Abundant Even Composite

36,913,170 factors as 2 × 3 × 5 × 7^2 × 25111. Its 48 positive divisors give a proper-divisor sum of 66,146,478, so this integer is abundant. The Collatz stopping time is 103 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 7^2 × 25111
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 103,059,648
Proper Divisor Sum 66,146,478
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #36913169 ← → #36913187

Radix Representation

Decimal 36913170
Binary 10001100110100000000010010 (26 bits)
Octal 0o214640022
Hexadecimal 0x2334012

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 147 210 245 294 490 735 1,470 25,111 50,222 75,333 125,555 150,666 175,777 251,110 351,554 376,665 527,331 753,330 878,885 1,054,662 1,230,439 1,757,770 2,460,878 2,636,655 3,691,317 5,273,310 6,152,195 7,382,634 12,304,390 18,456,585 36,913,170

Collatz Trajectory (103 steps to reach 1)

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

36,913,170 18,456,585 55,369,756 27,684,878 13,842,439 41,527,318 20,763,659 62,290,978 31,145,489 93,436,468 46,718,234 23,359,117 70,077,352 35,038,676 17,519,338 8,759,669 26,279,008 13,139,504 6,569,752 3,284,876 1,642,438 821,219 2,463,658 1,231,829 3,695,488 1,847,744 923,872 461,936 230,968 115,484 57,742 28,871 86,614 43,307 129,922 64,961 194,884 97,442 48,721 146,164 73,082 36,541 109,624 54,812 27,406 13,703 41,110 20,555 61,666 30,833 92,500 46,250 23,125 69,376 34,688 17,344 8,672 4,336 2,168 1,084

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