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5,601,726

2 × 32 × 13 × 37 × 647
Abundant Even Composite

5,601,726 factors as 2 × 3^2 × 13 × 37 × 647. Its 48 positive divisors give a proper-divisor sum of 7,842,978, so this integer is abundant. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 13 × 37 × 647
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 13,444,704
Proper Divisor Sum 7,842,978
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5601703 ← → #5601737

Radix Representation

Decimal 5601726
Binary 10101010111100110111110 (23 bits)
Octal 0o25274676
Hexadecimal 0x5579BE

Divisor Catalog (48)

1 2 3 6 9 13 18 26 37 39 74 78 111 117 222 234 333 481 647 666 962 1,294 1,443 1,941 2,886 3,882 4,329 5,823 8,411 8,658 11,646 16,822 23,939 25,233 47,878 50,466 71,817 75,699 143,634 151,398 215,451 311,207 430,902 622,414 933,621 1,867,242 2,800,863 5,601,726

Collatz Trajectory (139 steps to reach 1)

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

5,601,726 2,800,863 8,402,590 4,201,295 12,603,886 6,301,943 18,905,830 9,452,915 28,358,746 14,179,373 42,538,120 21,269,060 10,634,530 5,317,265 15,951,796 7,975,898 3,987,949 11,963,848 5,981,924 2,990,962 1,495,481 4,486,444 2,243,222 1,121,611 3,364,834 1,682,417 5,047,252 2,523,626 1,261,813 3,785,440 1,892,720 946,360 473,180 236,590 118,295 354,886 177,443 532,330 266,165 798,496 399,248 199,624 99,812 49,906 24,953 74,860 37,430 18,715 56,146 28,073 84,220 42,110 21,055 63,166 31,583 94,750 47,375 142,126 71,063 213,190

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