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Atlas › Integer Profiles › Node 16,617,136

16,617,136

24 × 41 × 73 × 347
Abundant Even Composite

16,617,136 factors as 2^4 × 41 × 73 × 347. Its 40 positive divisors give a proper-divisor sum of 16,911,968, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 73 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 33,529,104
Proper Divisor Sum 16,911,968
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #16617131 ← → #16617137

Radix Representation

Decimal 16617136
Binary 111111011000111010110000 (24 bits)
Octal 0o77307260
Hexadecimal 0xFD8EB0

Divisor Catalog (40)

1 2 4 8 16 41 73 82 146 164 292 328 347 584 656 694 1,168 1,388 2,776 2,993 5,552 5,986 11,972 14,227 23,944 25,331 28,454 47,888 50,662 56,908 101,324 113,816 202,648 227,632 405,296 1,038,571 2,077,142 4,154,284 8,308,568 16,617,136

Collatz Trajectory (156 steps to reach 1)

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

16,617,136 8,308,568 4,154,284 2,077,142 1,038,571 3,115,714 1,557,857 4,673,572 2,336,786 1,168,393 3,505,180 1,752,590 876,295 2,628,886 1,314,443 3,943,330 1,971,665 5,914,996 2,957,498 1,478,749 4,436,248 2,218,124 1,109,062 554,531 1,663,594 831,797 2,495,392 1,247,696 623,848 311,924 155,962 77,981 233,944 116,972 58,486 29,243 87,730 43,865 131,596 65,798 32,899 98,698 49,349 148,048 74,024 37,012 18,506 9,253 27,760 13,880 6,940 3,470 1,735 5,206 2,603 7,810 3,905 11,716 5,858 2,929

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