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Atlas › Integer Profiles › Node 11,636,720

11,636,720

24 × 5 × 145459
Abundant Even Composite

11,636,720 factors as 2^4 × 5 × 145459. Its 20 positive divisors give a proper-divisor sum of 15,418,840, so this integer is abundant. The Collatz stopping time is 109 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 145459
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 27,055,560
Proper Divisor Sum 15,418,840
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #11636699 ← → #11636741

Radix Representation

Decimal 11636720
Binary 101100011000111111110000 (24 bits)
Octal 0o54307760
Hexadecimal 0xB18FF0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 145,459 290,918 581,836 727,295 1,163,672 1,454,590 2,327,344 2,909,180 5,818,360 11,636,720

Collatz Trajectory (109 steps to reach 1)

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

11,636,720 5,818,360 2,909,180 1,454,590 727,295 2,181,886 1,090,943 3,272,830 1,636,415 4,909,246 2,454,623 7,363,870 3,681,935 11,045,806 5,522,903 16,568,710 8,284,355 24,853,066 12,426,533 37,279,600 18,639,800 9,319,900 4,659,950 2,329,975 6,989,926 3,494,963 10,484,890 5,242,445 15,727,336 7,863,668 3,931,834 1,965,917 5,897,752 2,948,876 1,474,438 737,219 2,211,658 1,105,829 3,317,488 1,658,744 829,372 414,686 207,343 622,030 311,015 933,046 466,523 1,399,570 699,785 2,099,356 1,049,678 524,839 1,574,518 787,259 2,361,778 1,180,889 3,542,668 1,771,334 885,667 2,657,002

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