λ
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Atlas › Integer Profiles › Node 61,349,436

61,349,436

22 × 32 × 941 × 1811
Abundant Even Composite

61,349,436 factors as 2^2 × 3^2 × 941 × 1811. Its 36 positive divisors give a proper-divisor sum of 93,978,828, so this integer is abundant. The Collatz stopping time is 251 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 941 × 1811
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 155,328,264
Proper Divisor Sum 93,978,828
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #61349411 ← → #61349437

Radix Representation

Decimal 61349436
Binary 11101010000001111000111100 (26 bits)
Octal 0o352017074
Hexadecimal 0x3A81E3C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 941 1,811 1,882 2,823 3,622 3,764 5,433 5,646 7,244 8,469 10,866 11,292 16,299 16,938 21,732 32,598 33,876 65,196 1,704,151 3,408,302 5,112,453 6,816,604 10,224,906 15,337,359 20,449,812 30,674,718 61,349,436

Collatz Trajectory (251 steps to reach 1)

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

61,349,436 30,674,718 15,337,359 46,012,078 23,006,039 69,018,118 34,509,059 103,527,178 51,763,589 155,290,768 77,645,384 38,822,692 19,411,346 9,705,673 29,117,020 14,558,510 7,279,255 21,837,766 10,918,883 32,756,650 16,378,325 49,134,976 24,567,488 12,283,744 6,141,872 3,070,936 1,535,468 767,734 383,867 1,151,602 575,801 1,727,404 863,702 431,851 1,295,554 647,777 1,943,332 971,666 485,833 1,457,500 728,750 364,375 1,093,126 546,563 1,639,690 819,845 2,459,536 1,229,768 614,884 307,442 153,721 461,164 230,582 115,291 345,874 172,937 518,812 259,406 129,703 389,110

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