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Atlas › Integer Profiles › Node 14,944,167

14,944,167

32 × 73 × 47 × 103
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^2 × 7^3 × 47 × 103
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 25,958,400
Proper Divisor Sum 11,014,233
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #14944159 ← → #14944187

Radix Representation

Decimal 14944167
Binary 111001000000011110100111 (24 bits)
Octal 0o71003647
Hexadecimal 0xE407A7

Divisor Catalog (48)

1 3 7 9 21 47 49 63 103 141 147 309 329 343 423 441 721 927 987 1,029 2,163 2,303 2,961 3,087 4,841 5,047 6,489 6,909 14,523 15,141 16,121 20,727 33,887 35,329 43,569 45,423 48,363 101,661 105,987 145,089 237,209 304,983 317,961 711,627 1,660,463 2,134,881 4,981,389 14,944,167

Collatz Trajectory (267 steps to reach 1)

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

14,944,167 44,832,502 22,416,251 67,248,754 33,624,377 100,873,132 50,436,566 25,218,283 75,654,850 37,827,425 113,482,276 56,741,138 28,370,569 85,111,708 42,555,854 21,277,927 63,833,782 31,916,891 95,750,674 47,875,337 143,626,012 71,813,006 35,906,503 107,719,510 53,859,755 161,579,266 80,789,633 242,368,900 121,184,450 60,592,225 181,776,676 90,888,338 45,444,169 136,332,508 68,166,254 34,083,127 102,249,382 51,124,691 153,374,074 76,687,037 230,061,112 115,030,556 57,515,278 28,757,639 86,272,918 43,136,459 129,409,378 64,704,689 194,114,068 97,057,034 48,528,517 145,585,552 72,792,776 36,396,388 18,198,194 9,099,097 27,297,292 13,648,646 6,824,323 20,472,970

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