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Atlas › Integer Profiles › Node 36,799,245

36,799,245

33 × 5 × 72 × 5563
Abundant Odd Composite

36,799,245 factors as 3^3 × 5 × 7^2 × 5563. Its 48 positive divisors give a proper-divisor sum of 39,316,275, so this integer is abundant. The Collatz stopping time is 227 steps.

Prime Factor Structure

Factorization String 3^3 × 5 × 7^2 × 5563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,115,520
Proper Divisor Sum 39,316,275
Digit Sum / Digital Root 45 (Root: 9)
Adjacent Primes #36799207 ← → #36799247

Radix Representation

Decimal 36799245
Binary 10001100011000001100001101 (26 bits)
Octal 0o214301415
Hexadecimal 0x231830D

Divisor Catalog (48)

1 3 5 7 9 15 21 27 35 45 49 63 105 135 147 189 245 315 441 735 945 1,323 2,205 5,563 6,615 16,689 27,815 38,941 50,067 83,445 116,823 150,201 194,705 250,335 272,587 350,469 584,115 751,005 817,761 1,051,407 1,362,935 1,752,345 2,453,283 4,088,805 5,257,035 7,359,849 12,266,415 36,799,245

Collatz Trajectory (227 steps to reach 1)

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

36,799,245 110,397,736 55,198,868 27,599,434 13,799,717 41,399,152 20,699,576 10,349,788 5,174,894 2,587,447 7,762,342 3,881,171 11,643,514 5,821,757 17,465,272 8,732,636 4,366,318 2,183,159 6,549,478 3,274,739 9,824,218 4,912,109 14,736,328 7,368,164 3,684,082 1,842,041 5,526,124 2,763,062 1,381,531 4,144,594 2,072,297 6,216,892 3,108,446 1,554,223 4,662,670 2,331,335 6,994,006 3,497,003 10,491,010 5,245,505 15,736,516 7,868,258 3,934,129 11,802,388 5,901,194 2,950,597 8,851,792 4,425,896 2,212,948 1,106,474 553,237 1,659,712 829,856 414,928 207,464 103,732 51,866 25,933 77,800 38,900

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