λ
Sigma Notebook

6,880,540

22 × 5 × 29 × 11863
Abundant Even Composite

6,880,540 is even and not a perfect square. Its factorization is 2^2 × 5 × 29 × 11863 and its 24 divisors sum to 14,948,640.

Prime Factor Structure

Factorization String 2^2 × 5 × 29 × 11863
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 14,948,640
Proper Divisor Sum 8,068,100
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #6880507 ← → #6880541

Radix Representation

Decimal 6880540
Binary 11010001111110100011100 (23 bits)
Octal 0o32176434
Hexadecimal 0x68FD1C

Divisor Catalog (24)

1 2 4 5 10 20 29 58 116 145 290 580 11,863 23,726 47,452 59,315 118,630 237,260 344,027 688,054 1,376,108 1,720,135 3,440,270 6,880,540

Collatz Trajectory (103 steps to reach 1)

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

6,880,540 3,440,270 1,720,135 5,160,406 2,580,203 7,740,610 3,870,305 11,610,916 5,805,458 2,902,729 8,708,188 4,354,094 2,177,047 6,531,142 3,265,571 9,796,714 4,898,357 14,695,072 7,347,536 3,673,768 1,836,884 918,442 459,221 1,377,664 688,832 344,416 172,208 86,104 43,052 21,526 10,763 32,290 16,145 48,436 24,218 12,109 36,328 18,164 9,082 4,541 13,624 6,812 3,406 1,703 5,110 2,555 7,666 3,833 11,500 5,750 2,875 8,626 4,313 12,940 6,470 3,235 9,706 4,853 14,560 7,280

More profiles

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