λ
Sigma Notebook

6,720,933

3 × 17 × 131783
Deficient Odd Composite

6,720,933 is odd and not a perfect square. Its factorization is 3 × 17 × 131783 and its 8 divisors sum to 9,488,448.

Prime Factor Structure

Factorization String 3 × 17 × 131783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,488,448
Proper Divisor Sum 2,767,515
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #6720929 ← → #6720941

Radix Representation

Decimal 6720933
Binary 11001101000110110100101 (23 bits)
Octal 0o31506645
Hexadecimal 0x668DA5

Divisor Catalog (8)

1 3 17 51 131,783 395,349 2,240,311 6,720,933

Collatz Trajectory (59 steps to reach 1)

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

6,720,933 20,162,800 10,081,400 5,040,700 2,520,350 1,260,175 3,780,526 1,890,263 5,670,790 2,835,395 8,506,186 4,253,093 12,759,280 6,379,640 3,189,820 1,594,910 797,455 2,392,366 1,196,183 3,588,550 1,794,275 5,382,826 2,691,413 8,074,240 4,037,120 2,018,560 1,009,280 504,640 252,320 126,160 63,080 31,540 15,770 7,885 23,656 11,828 5,914 2,957 8,872 4,436 2,218 1,109 3,328 1,664 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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