λ
Sigma Notebook

6,737,960

23 × 5 × 168449
Abundant Even Composite

6,737,960 is even and not a perfect square. Its factorization is 2^3 × 5 × 168449 and its 16 divisors sum to 15,160,500.

Prime Factor Structure

Factorization String 2^3 × 5 × 168449
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,160,500
Proper Divisor Sum 8,422,540
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #6737953 ← → #6737963

Radix Representation

Decimal 6737960
Binary 11001101101000000101000 (23 bits)
Octal 0o31550050
Hexadecimal 0x66D028

Divisor Catalog (16)

1 2 4 5 8 10 20 40 168,449 336,898 673,796 842,245 1,347,592 1,684,490 3,368,980 6,737,960

Collatz Trajectory (134 steps to reach 1)

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

6,737,960 3,368,980 1,684,490 842,245 2,526,736 1,263,368 631,684 315,842 157,921 473,764 236,882 118,441 355,324 177,662 88,831 266,494 133,247 399,742 199,871 599,614 299,807 899,422 449,711 1,349,134 674,567 2,023,702 1,011,851 3,035,554 1,517,777 4,553,332 2,276,666 1,138,333 3,415,000 1,707,500 853,750 426,875 1,280,626 640,313 1,920,940 960,470 480,235 1,440,706 720,353 2,161,060 1,080,530 540,265 1,620,796 810,398 405,199 1,215,598 607,799 1,823,398 911,699 2,735,098 1,367,549 4,102,648 2,051,324 1,025,662 512,831 1,538,494

More profiles

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