λ
Ratio Atlas

19,731,388

22 × 367 × 13441
Deficient Even Composite

19,731,388 factors as 2^2 × 367 × 13441. Its 12 positive divisors give a proper-divisor sum of 14,895,204, so this integer is deficient. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 367 × 13441
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 34,626,592
Proper Divisor Sum 14,895,204
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #19731359 ← → #19731391

Radix Representation

Decimal 19731388
Binary 1001011010001001110111100 (25 bits)
Octal 0o113211674
Hexadecimal 0x12D13BC

Divisor Catalog (12)

Collatz Trajectory (208 steps to reach 1)

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

19,731,388 9,865,694 4,932,847 14,798,542 7,399,271 22,197,814 11,098,907 33,296,722 16,648,361 49,945,084 24,972,542 12,486,271 37,458,814 18,729,407 56,188,222 28,094,111 84,282,334 42,141,167 126,423,502 63,211,751 189,635,254 94,817,627 284,452,882 142,226,441 426,679,324 213,339,662 106,669,831 320,009,494 160,004,747 480,014,242 240,007,121 720,021,364 360,010,682 180,005,341 540,016,024 270,008,012 135,004,006 67,502,003 202,506,010 101,253,005 303,759,016 151,879,508 75,939,754 37,969,877 113,909,632 56,954,816 28,477,408 14,238,704 7,119,352 3,559,676 1,779,838 889,919 2,669,758 1,334,879 4,004,638 2,002,319 6,006,958 3,003,479 9,010,438 4,505,219

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