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Atlas › Integer Profiles › Node 20,007,243

20,007,243

34 × 139 × 1777
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^4 × 139 × 1777
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 30,119,320
Proper Divisor Sum 10,112,077
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #20007223 ← → #20007257

Radix Representation

Decimal 20007243
Binary 1001100010100100101001011 (25 bits)
Octal 0o114244513
Hexadecimal 0x131494B

Divisor Catalog (20)

1 3 9 27 81 139 417 1,251 1,777 3,753 5,331 11,259 15,993 47,979 143,937 247,003 741,009 2,223,027 6,669,081 20,007,243

Collatz Trajectory (226 steps to reach 1)

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

20,007,243 60,021,730 30,010,865 90,032,596 45,016,298 22,508,149 67,524,448 33,762,224 16,881,112 8,440,556 4,220,278 2,110,139 6,330,418 3,165,209 9,495,628 4,747,814 2,373,907 7,121,722 3,560,861 10,682,584 5,341,292 2,670,646 1,335,323 4,005,970 2,002,985 6,008,956 3,004,478 1,502,239 4,506,718 2,253,359 6,760,078 3,380,039 10,140,118 5,070,059 15,210,178 7,605,089 22,815,268 11,407,634 5,703,817 17,111,452 8,555,726 4,277,863 12,833,590 6,416,795 19,250,386 9,625,193 28,875,580 14,437,790 7,218,895 21,656,686 10,828,343 32,485,030 16,242,515 48,727,546 24,363,773 73,091,320 36,545,660 18,272,830 9,136,415 27,409,246

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