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Atlas › Integer Profiles › Node 16,635,760

16,635,760

24 × 5 × 207947
Abundant Even Composite

16,635,760 factors as 2^4 × 5 × 207947. Its 20 positive divisors give a proper-divisor sum of 22,042,568, so this integer is abundant. The Collatz stopping time is 156 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 207947
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 38,678,328
Proper Divisor Sum 22,042,568
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #16635757 ← → #16635769

Radix Representation

Decimal 16635760
Binary 111111011101011101110000 (24 bits)
Octal 0o77353560
Hexadecimal 0xFDD770

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 207,947 415,894 831,788 1,039,735 1,663,576 2,079,470 3,327,152 4,158,940 8,317,880 16,635,760

Collatz Trajectory (156 steps to reach 1)

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

16,635,760 8,317,880 4,158,940 2,079,470 1,039,735 3,119,206 1,559,603 4,678,810 2,339,405 7,018,216 3,509,108 1,754,554 877,277 2,631,832 1,315,916 657,958 328,979 986,938 493,469 1,480,408 740,204 370,102 185,051 555,154 277,577 832,732 416,366 208,183 624,550 312,275 936,826 468,413 1,405,240 702,620 351,310 175,655 526,966 263,483 790,450 395,225 1,185,676 592,838 296,419 889,258 444,629 1,333,888 666,944 333,472 166,736 83,368 41,684 20,842 10,421 31,264 15,632 7,816 3,908 1,954 977 2,932

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