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Atlas › Integer Profiles › Node 6,567,684

6,567,684

22 × 3 × 383 × 1429
Abundant Even Composite

6,567,684 factors as 2^2 × 3 × 383 × 1429. Its 24 positive divisors give a proper-divisor sum of 8,807,676, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 383 × 1429
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 15,375,360
Proper Divisor Sum 8,807,676
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6567683 ← → #6567709

Radix Representation

Decimal 6567684
Binary 11001000011011100000100 (23 bits)
Octal 0o31033404
Hexadecimal 0x643704

Divisor Catalog (24)

1 2 3 4 6 12 383 766 1,149 1,429 1,532 2,298 2,858 4,287 4,596 5,716 8,574 17,148 547,307 1,094,614 1,641,921 2,189,228 3,283,842 6,567,684

Collatz Trajectory (196 steps to reach 1)

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

6,567,684 3,283,842 1,641,921 4,925,764 2,462,882 1,231,441 3,694,324 1,847,162 923,581 2,770,744 1,385,372 692,686 346,343 1,039,030 519,515 1,558,546 779,273 2,337,820 1,168,910 584,455 1,753,366 876,683 2,630,050 1,315,025 3,945,076 1,972,538 986,269 2,958,808 1,479,404 739,702 369,851 1,109,554 554,777 1,664,332 832,166 416,083 1,248,250 624,125 1,872,376 936,188 468,094 234,047 702,142 351,071 1,053,214 526,607 1,579,822 789,911 2,369,734 1,184,867 3,554,602 1,777,301 5,331,904 2,665,952 1,332,976 666,488 333,244 166,622 83,311 249,934

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