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Atlas › Integer Profiles › Node 16,628,320

16,628,320

25 × 5 × 103 × 1009
Abundant Even Composite

16,628,320 factors as 2^5 × 5 × 103 × 1009. Its 48 positive divisors give a proper-divisor sum of 23,076,800, so this integer is abundant. The Collatz stopping time is 94 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 103 × 1009
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 39,705,120
Proper Divisor Sum 23,076,800
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #16628309 ← → #16628321

Radix Representation

Decimal 16628320
Binary 111111011011101001100000 (24 bits)
Octal 0o77335140
Hexadecimal 0xFDBA60

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 80 103 160 206 412 515 824 1,009 1,030 1,648 2,018 2,060 3,296 4,036 4,120 5,045 8,072 8,240 10,090 16,144 16,480 20,180 32,288 40,360 80,720 103,927 161,440 207,854 415,708 519,635 831,416 1,039,270 1,662,832 2,078,540 3,325,664 4,157,080 8,314,160 16,628,320

Collatz Trajectory (94 steps to reach 1)

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

16,628,320 8,314,160 4,157,080 2,078,540 1,039,270 519,635 1,558,906 779,453 2,338,360 1,169,180 584,590 292,295 876,886 438,443 1,315,330 657,665 1,972,996 986,498 493,249 1,479,748 739,874 369,937 1,109,812 554,906 277,453 832,360 416,180 208,090 104,045 312,136 156,068 78,034 39,017 117,052 58,526 29,263 87,790 43,895 131,686 65,843 197,530 98,765 296,296 148,148 74,074 37,037 111,112 55,556 27,778 13,889 41,668 20,834 10,417 31,252 15,626 7,813 23,440 11,720 5,860 2,930

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