λ
Sigma Notebook

6,531,830

2 × 5 × 67 × 9749
Deficient Even Composite

6,531,830 is even and not a perfect square. Its factorization is 2 × 5 × 67 × 9749 and its 16 divisors sum to 11,934,000.

Prime Factor Structure

Factorization String 2 × 5 × 67 × 9749
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 11,934,000
Proper Divisor Sum 5,402,170
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6531797 ← → #6531857

Radix Representation

Decimal 6531830
Binary 11000111010101011110110 (23 bits)
Octal 0o30725366
Hexadecimal 0x63AAF6

Divisor Catalog (16)

1 2 5 10 67 134 335 670 9,749 19,498 48,745 97,490 653,183 1,306,366 3,265,915 6,531,830

Collatz Trajectory (178 steps to reach 1)

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

6,531,830 3,265,915 9,797,746 4,898,873 14,696,620 7,348,310 3,674,155 11,022,466 5,511,233 16,533,700 8,266,850 4,133,425 12,400,276 6,200,138 3,100,069 9,300,208 4,650,104 2,325,052 1,162,526 581,263 1,743,790 871,895 2,615,686 1,307,843 3,923,530 1,961,765 5,885,296 2,942,648 1,471,324 735,662 367,831 1,103,494 551,747 1,655,242 827,621 2,482,864 1,241,432 620,716 310,358 155,179 465,538 232,769 698,308 349,154 174,577 523,732 261,866 130,933 392,800 196,400 98,200 49,100 24,550 12,275 36,826 18,413 55,240 27,620 13,810 6,905

More profiles

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