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Atlas › Integer Profiles › Node 1,686,540

1,686,540

22 × 3 × 5 × 28109
Abundant Even Composite

1,686,540 factors as 2^2 × 3 × 5 × 28109. Its 24 positive divisors give a proper-divisor sum of 3,035,940, so this integer is abundant. The Collatz stopping time is 132 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 28109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,722,480
Proper Divisor Sum 3,035,940
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1686527 ← → #1686547

Radix Representation

Decimal 1686540
Binary 110011011110000001100 (21 bits)
Octal 0o6336014
Hexadecimal 0x19BC0C

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 28,109 56,218 84,327 112,436 140,545 168,654 281,090 337,308 421,635 562,180 843,270 1,686,540

Collatz Trajectory (132 steps to reach 1)

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

1,686,540 843,270 421,635 1,264,906 632,453 1,897,360 948,680 474,340 237,170 118,585 355,756 177,878 88,939 266,818 133,409 400,228 200,114 100,057 300,172 150,086 75,043 225,130 112,565 337,696 168,848 84,424 42,212 21,106 10,553 31,660 15,830 7,915 23,746 11,873 35,620 17,810 8,905 26,716 13,358 6,679 20,038 10,019 30,058 15,029 45,088 22,544 11,272 5,636 2,818 1,409 4,228 2,114 1,057 3,172 1,586 793 2,380 1,190 595 1,786

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