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Atlas › Integer Profiles › Node 3,921,385

3,921,385

5 × 13 × 23 × 43 × 61
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 13 × 23 × 43 × 61
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,499,648
Proper Divisor Sum 1,578,263
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3921383 ← → #3921413

Radix Representation

Decimal 3921385
Binary 1110111101010111101001 (22 bits)
Octal 0o16752751
Hexadecimal 0x3BD5E9

Divisor Catalog (32)

1 5 13 23 43 61 65 115 215 299 305 559 793 989 1,403 1,495 2,623 2,795 3,965 4,945 7,015 12,857 13,115 18,239 34,099 60,329 64,285 91,195 170,495 301,645 784,277 3,921,385

Collatz Trajectory (172 steps to reach 1)

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

3,921,385 11,764,156 5,882,078 2,941,039 8,823,118 4,411,559 13,234,678 6,617,339 19,852,018 9,926,009 29,778,028 14,889,014 7,444,507 22,333,522 11,166,761 33,500,284 16,750,142 8,375,071 25,125,214 12,562,607 37,687,822 18,843,911 56,531,734 28,265,867 84,797,602 42,398,801 127,196,404 63,598,202 31,799,101 95,397,304 47,698,652 23,849,326 11,924,663 35,773,990 17,886,995 53,660,986 26,830,493 80,491,480 40,245,740 20,122,870 10,061,435 30,184,306 15,092,153 45,276,460 22,638,230 11,319,115 33,957,346 16,978,673 50,936,020 25,468,010 12,734,005 38,202,016 19,101,008 9,550,504 4,775,252 2,387,626 1,193,813 3,581,440 1,790,720 895,360

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