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Atlas › Integer Profiles › Node 61,440,918

61,440,918

2 × 3 × 7 × 11 × 132989
Abundant Even Composite

61,440,918 factors as 2 × 3 × 7 × 11 × 132989. Its 32 positive divisors give a proper-divisor sum of 91,763,562, so this integer is abundant. The Collatz stopping time is 207 steps.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 11 × 132989
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 153,204,480
Proper Divisor Sum 91,763,562
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #61440917 ← → #61440923

Radix Representation

Decimal 61440918
Binary 11101010011000001110010110 (26 bits)
Octal 0o352301626
Hexadecimal 0x3A98396

Divisor Catalog (32)

1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 132,989 265,978 398,967 797,934 930,923 1,462,879 1,861,846 2,792,769 2,925,758 4,388,637 5,585,538 8,777,274 10,240,153 20,480,306 30,720,459 61,440,918

Collatz Trajectory (207 steps to reach 1)

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

61,440,918 30,720,459 92,161,378 46,080,689 138,242,068 69,121,034 34,560,517 103,681,552 51,840,776 25,920,388 12,960,194 6,480,097 19,440,292 9,720,146 4,860,073 14,580,220 7,290,110 3,645,055 10,935,166 5,467,583 16,402,750 8,201,375 24,604,126 12,302,063 36,906,190 18,453,095 55,359,286 27,679,643 83,038,930 41,519,465 124,558,396 62,279,198 31,139,599 93,418,798 46,709,399 140,128,198 70,064,099 210,192,298 105,096,149 315,288,448 157,644,224 78,822,112 39,411,056 19,705,528 9,852,764 4,926,382 2,463,191 7,389,574 3,694,787 11,084,362 5,542,181 16,626,544 8,313,272 4,156,636 2,078,318 1,039,159 3,117,478 1,558,739 4,676,218 2,338,109

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