λ
Ratio Atlas

3,227,793

3 × 887 × 1213
Deficient Odd Composite

3,227,793 factors as 3 × 887 × 1213. Its 8 positive divisors give a proper-divisor sum of 1,084,335, so this integer is deficient. The Collatz stopping time is 164 steps.

Prime Factor Structure

Factorization String 3 × 887 × 1213
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,312,128
Proper Divisor Sum 1,084,335
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3227789 ← → #3227801

Radix Representation

Decimal 3227793
Binary 1100010100000010010001 (22 bits)
Octal 0o14240221
Hexadecimal 0x314091

Divisor Catalog (8)

1 3 887 1,213 2,661 3,639 1,075,931 3,227,793

Collatz Trajectory (164 steps to reach 1)

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

3,227,793 9,683,380 4,841,690 2,420,845 7,262,536 3,631,268 1,815,634 907,817 2,723,452 1,361,726 680,863 2,042,590 1,021,295 3,063,886 1,531,943 4,595,830 2,297,915 6,893,746 3,446,873 10,340,620 5,170,310 2,585,155 7,755,466 3,877,733 11,633,200 5,816,600 2,908,300 1,454,150 727,075 2,181,226 1,090,613 3,271,840 1,635,920 817,960 408,980 204,490 102,245 306,736 153,368 76,684 38,342 19,171 57,514 28,757 86,272 43,136 21,568 10,784 5,392 2,696 1,348 674 337 1,012 506 253 760 380 190 95

More profiles

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