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Atlas › Integer Profiles › Node 30,004,191

30,004,191

32 × 7 × 107 × 4451
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7 × 107 × 4451
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 50,004,864
Proper Divisor Sum 20,000,673
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #30004147 ← → #30004193

Radix Representation

Decimal 30004191
Binary 1110010011101001111011111 (25 bits)
Octal 0o162351737
Hexadecimal 0x1C9D3DF

Divisor Catalog (24)

1 3 7 9 21 63 107 321 749 963 2,247 4,451 6,741 13,353 31,157 40,059 93,471 280,413 476,257 1,428,771 3,333,799 4,286,313 10,001,397 30,004,191

Collatz Trajectory (219 steps to reach 1)

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

30,004,191 90,012,574 45,006,287 135,018,862 67,509,431 202,528,294 101,264,147 303,792,442 151,896,221 455,688,664 227,844,332 113,922,166 56,961,083 170,883,250 85,441,625 256,324,876 128,162,438 64,081,219 192,243,658 96,121,829 288,365,488 144,182,744 72,091,372 36,045,686 18,022,843 54,068,530 27,034,265 81,102,796 40,551,398 20,275,699 60,827,098 30,413,549 91,240,648 45,620,324 22,810,162 11,405,081 34,215,244 17,107,622 8,553,811 25,661,434 12,830,717 38,492,152 19,246,076 9,623,038 4,811,519 14,434,558 7,217,279 21,651,838 10,825,919 32,477,758 16,238,879 48,716,638 24,358,319 73,074,958 36,537,479 109,612,438 54,806,219 164,418,658 82,209,329 246,627,988

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