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Atlas › Integer Profiles › Node 30,004,155

30,004,155

33 × 5 × 59 × 3767
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 59 × 3767
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 54,259,200
Proper Divisor Sum 24,255,045
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #30004147 ← → #30004193

Radix Representation

Decimal 30004155
Binary 1110010011101001110111011 (25 bits)
Octal 0o162351673
Hexadecimal 0x1C9D3BB

Divisor Catalog (32)

1 3 5 9 15 27 45 59 135 177 295 531 885 1,593 2,655 3,767 7,965 11,301 18,835 33,903 56,505 101,709 169,515 222,253 508,545 666,759 1,111,265 2,000,277 3,333,795 6,000,831 10,001,385 30,004,155

Collatz Trajectory (113 steps to reach 1)

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

30,004,155 90,012,466 45,006,233 135,018,700 67,509,350 33,754,675 101,264,026 50,632,013 151,896,040 75,948,020 37,974,010 18,987,005 56,961,016 28,480,508 14,240,254 7,120,127 21,360,382 10,680,191 32,040,574 16,020,287 48,060,862 24,030,431 72,091,294 36,045,647 108,136,942 54,068,471 162,205,414 81,102,707 243,308,122 121,654,061 364,962,184 182,481,092 91,240,546 45,620,273 136,860,820 68,430,410 34,215,205 102,645,616 51,322,808 25,661,404 12,830,702 6,415,351 19,246,054 9,623,027 28,869,082 14,434,541 43,303,624 21,651,812 10,825,906 5,412,953 16,238,860 8,119,430 4,059,715 12,179,146 6,089,573 18,268,720 9,134,360 4,567,180 2,283,590 1,141,795

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