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687,084

22 × 3 × 31 × 1847
Abundant Even Composite

687,084 factors as 2^2 × 3 × 31 × 1847. Its 24 positive divisors give a proper-divisor sum of 968,724, so this integer is abundant. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 31 × 1847
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,655,808
Proper Divisor Sum 968,724
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #687083 ← → #687101

Radix Representation

Decimal 687084
Binary 10100111101111101100 (20 bits)
Octal 0o2475754
Hexadecimal 0xA7BEC

Divisor Catalog (24)

1 2 3 4 6 12 31 62 93 124 186 372 1,847 3,694 5,541 7,388 11,082 22,164 57,257 114,514 171,771 229,028 343,542 687,084

Collatz Trajectory (105 steps to reach 1)

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

687,084 343,542 171,771 515,314 257,657 772,972 386,486 193,243 579,730 289,865 869,596 434,798 217,399 652,198 326,099 978,298 489,149 1,467,448 733,724 366,862 183,431 550,294 275,147 825,442 412,721 1,238,164 619,082 309,541 928,624 464,312 232,156 116,078 58,039 174,118 87,059 261,178 130,589 391,768 195,884 97,942 48,971 146,914 73,457 220,372 110,186 55,093 165,280 82,640 41,320 20,660 10,330 5,165 15,496 7,748 3,874 1,937 5,812 2,906 1,453 4,360

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