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Atlas › Integer Profiles › Node 13,635,534

13,635,534

2 × 3 × 11 × 41 × 5039
Abundant Even Composite

13,635,534 factors as 2 × 3 × 11 × 41 × 5039. Its 32 positive divisors give a proper-divisor sum of 16,846,386, so this integer is abundant. The Collatz stopping time is 135 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 41 × 5039
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 30,481,920
Proper Divisor Sum 16,846,386
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #13635533 ← → #13635541

Radix Representation

Decimal 13635534
Binary 110100000000111111001110 (24 bits)
Octal 0o64007716
Hexadecimal 0xD00FCE

Divisor Catalog (32)

1 2 3 6 11 22 33 41 66 82 123 246 451 902 1,353 2,706 5,039 10,078 15,117 30,234 55,429 110,858 166,287 206,599 332,574 413,198 619,797 1,239,594 2,272,589 4,545,178 6,817,767 13,635,534

Collatz Trajectory (135 steps to reach 1)

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

13,635,534 6,817,767 20,453,302 10,226,651 30,679,954 15,339,977 46,019,932 23,009,966 11,504,983 34,514,950 17,257,475 51,772,426 25,886,213 77,658,640 38,829,320 19,414,660 9,707,330 4,853,665 14,560,996 7,280,498 3,640,249 10,920,748 5,460,374 2,730,187 8,190,562 4,095,281 12,285,844 6,142,922 3,071,461 9,214,384 4,607,192 2,303,596 1,151,798 575,899 1,727,698 863,849 2,591,548 1,295,774 647,887 1,943,662 971,831 2,915,494 1,457,747 4,373,242 2,186,621 6,559,864 3,279,932 1,639,966 819,983 2,459,950 1,229,975 3,689,926 1,844,963 5,534,890 2,767,445 8,302,336 4,151,168 2,075,584 1,037,792 518,896

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