λ
Ratio Atlas

3,388,053

3 × 37 × 131 × 233
Deficient Odd Composite

3,388,053 factors as 3 × 37 × 131 × 233. Its 16 positive divisors give a proper-divisor sum of 1,306,923, so this integer is deficient. The Collatz stopping time is 190 steps.

Prime Factor Structure

Factorization String 3 × 37 × 131 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,694,976
Proper Divisor Sum 1,306,923
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3388043 ← → #3388057

Radix Representation

Decimal 3388053
Binary 1100111011001010010101 (22 bits)
Octal 0o14731225
Hexadecimal 0x33B295

Divisor Catalog (16)

1 3 37 111 131 233 393 699 4,847 8,621 14,541 25,863 30,523 91,569 1,129,351 3,388,053

Collatz Trajectory (190 steps to reach 1)

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

3,388,053 10,164,160 5,082,080 2,541,040 1,270,520 635,260 317,630 158,815 476,446 238,223 714,670 357,335 1,072,006 536,003 1,608,010 804,005 2,412,016 1,206,008 603,004 301,502 150,751 452,254 226,127 678,382 339,191 1,017,574 508,787 1,526,362 763,181 2,289,544 1,144,772 572,386 286,193 858,580 429,290 214,645 643,936 321,968 160,984 80,492 40,246 20,123 60,370 30,185 90,556 45,278 22,639 67,918 33,959 101,878 50,939 152,818 76,409 229,228 114,614 57,307 171,922 85,961 257,884 128,942

More profiles

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