λ
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Atlas › Integer Profiles › Node 13,634,160

13,634,160

24 × 3 × 5 × 56809
Abundant Even Composite

13,634,160 factors as 2^4 × 3 × 5 × 56809. Its 40 positive divisors give a proper-divisor sum of 28,632,480, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 5 × 56809
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 42,266,640
Proper Divisor Sum 28,632,480
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #13634143 ← → #13634189

Radix Representation

Decimal 13634160
Binary 110100000000101001110000 (24 bits)
Octal 0o64005160
Hexadecimal 0xD00A70

Divisor Catalog (40)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 56,809 113,618 170,427 227,236 284,045 340,854 454,472 568,090 681,708 852,135 908,944 1,136,180 1,363,416 1,704,270 2,272,360 2,726,832 3,408,540 4,544,720 6,817,080 13,634,160

Collatz Trajectory (223 steps to reach 1)

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

13,634,160 6,817,080 3,408,540 1,704,270 852,135 2,556,406 1,278,203 3,834,610 1,917,305 5,751,916 2,875,958 1,437,979 4,313,938 2,156,969 6,470,908 3,235,454 1,617,727 4,853,182 2,426,591 7,279,774 3,639,887 10,919,662 5,459,831 16,379,494 8,189,747 24,569,242 12,284,621 36,853,864 18,426,932 9,213,466 4,606,733 13,820,200 6,910,100 3,455,050 1,727,525 5,182,576 2,591,288 1,295,644 647,822 323,911 971,734 485,867 1,457,602 728,801 2,186,404 1,093,202 546,601 1,639,804 819,902 409,951 1,229,854 614,927 1,844,782 922,391 2,767,174 1,383,587 4,150,762 2,075,381 6,226,144 3,113,072

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