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Atlas › Integer Profiles › Node 14,632,160

14,632,160

25 × 5 × 109 × 839
Abundant Even Composite

14,632,160 factors as 2^5 × 5 × 109 × 839. Its 48 positive divisors give a proper-divisor sum of 20,295,040, so this integer is abundant. The Collatz stopping time is 112 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 109 × 839
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 34,927,200
Proper Divisor Sum 20,295,040
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #14632157 ← → #14632171

Radix Representation

Decimal 14632160
Binary 110111110100010011100000 (24 bits)
Octal 0o67642340
Hexadecimal 0xDF44E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 109 160 218 436 545 839 872 1,090 1,678 1,744 2,180 3,356 3,488 4,195 4,360 6,712 8,390 8,720 13,424 16,780 17,440 26,848 33,560 67,120 91,451 134,240 182,902 365,804 457,255 731,608 914,510 1,463,216 1,829,020 2,926,432 3,658,040 7,316,080 14,632,160

Collatz Trajectory (112 steps to reach 1)

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

14,632,160 7,316,080 3,658,040 1,829,020 914,510 457,255 1,371,766 685,883 2,057,650 1,028,825 3,086,476 1,543,238 771,619 2,314,858 1,157,429 3,472,288 1,736,144 868,072 434,036 217,018 108,509 325,528 162,764 81,382 40,691 122,074 61,037 183,112 91,556 45,778 22,889 68,668 34,334 17,167 51,502 25,751 77,254 38,627 115,882 57,941 173,824 86,912 43,456 21,728 10,864 5,432 2,716 1,358 679 2,038 1,019 3,058 1,529 4,588 2,294 1,147 3,442 1,721 5,164 2,582

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