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Atlas › Integer Profiles › Node 12,901,161

12,901,161

3 × 72 × 13 × 43 × 157
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 7^2 × 13 × 43 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 22,190,784
Proper Divisor Sum 9,289,623
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #12901157 ← → #12901169

Radix Representation

Decimal 12901161
Binary 110001001101101100101001 (24 bits)
Octal 0o61155451
Hexadecimal 0xC4DB29

Divisor Catalog (48)

1 3 7 13 21 39 43 49 91 129 147 157 273 301 471 559 637 903 1,099 1,677 1,911 2,041 2,107 3,297 3,913 6,123 6,321 6,751 7,693 11,739 14,287 20,253 23,079 27,391 42,861 47,257 82,173 87,763 100,009 141,771 263,289 300,027 330,799 614,341 992,397 1,843,023 4,300,387 12,901,161

Collatz Trajectory (210 steps to reach 1)

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

12,901,161 38,703,484 19,351,742 9,675,871 29,027,614 14,513,807 43,541,422 21,770,711 65,312,134 32,656,067 97,968,202 48,984,101 146,952,304 73,476,152 36,738,076 18,369,038 9,184,519 27,553,558 13,776,779 41,330,338 20,665,169 61,995,508 30,997,754 15,498,877 46,496,632 23,248,316 11,624,158 5,812,079 17,436,238 8,718,119 26,154,358 13,077,179 39,231,538 19,615,769 58,847,308 29,423,654 14,711,827 44,135,482 22,067,741 66,203,224 33,101,612 16,550,806 8,275,403 24,826,210 12,413,105 37,239,316 18,619,658 9,309,829 27,929,488 13,964,744 6,982,372 3,491,186 1,745,593 5,236,780 2,618,390 1,309,195 3,927,586 1,963,793 5,891,380 2,945,690

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