λ
Sigma Notebook

6,877,626

2 × 3 × 7 × 163753
Abundant Even Composite

6,877,626 is even and not a perfect square. Its factorization is 2 × 3 × 7 × 163753 and its 16 divisors sum to 15,720,384.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 163753
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,720,384
Proper Divisor Sum 8,842,758
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #6877613 ← → #6877649

Radix Representation

Decimal 6877626
Binary 11010001111000110111010 (23 bits)
Octal 0o32170672
Hexadecimal 0x68F1BA

Divisor Catalog (16)

1 2 3 6 7 14 21 42 163,753 327,506 491,259 982,518 1,146,271 2,292,542 3,438,813 6,877,626

Collatz Trajectory (222 steps to reach 1)

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

6,877,626 3,438,813 10,316,440 5,158,220 2,579,110 1,289,555 3,868,666 1,934,333 5,803,000 2,901,500 1,450,750 725,375 2,176,126 1,088,063 3,264,190 1,632,095 4,896,286 2,448,143 7,344,430 3,672,215 11,016,646 5,508,323 16,524,970 8,262,485 24,787,456 12,393,728 6,196,864 3,098,432 1,549,216 774,608 387,304 193,652 96,826 48,413 145,240 72,620 36,310 18,155 54,466 27,233 81,700 40,850 20,425 61,276 30,638 15,319 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630

More profiles

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