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Atlas › Integer Profiles › Node 1,667,070

1,667,070

2 × 32 × 5 × 18523
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 18523
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,334,616
Proper Divisor Sum 2,667,546
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1667053 ← → #1667077

Radix Representation

Decimal 1667070
Binary 110010110111111111110 (21 bits)
Octal 0o6267776
Hexadecimal 0x196FFE

Divisor Catalog (24)

1 2 3 5 6 9 10 15 18 30 45 90 18,523 37,046 55,569 92,615 111,138 166,707 185,230 277,845 333,414 555,690 833,535 1,667,070

Collatz Trajectory (282 steps to reach 1)

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

1,667,070 833,535 2,500,606 1,250,303 3,750,910 1,875,455 5,626,366 2,813,183 8,439,550 4,219,775 12,659,326 6,329,663 18,988,990 9,494,495 28,483,486 14,241,743 42,725,230 21,362,615 64,087,846 32,043,923 96,131,770 48,065,885 144,197,656 72,098,828 36,049,414 18,024,707 54,074,122 27,037,061 81,111,184 40,555,592 20,277,796 10,138,898 5,069,449 15,208,348 7,604,174 3,802,087 11,406,262 5,703,131 17,109,394 8,554,697 25,664,092 12,832,046 6,416,023 19,248,070 9,624,035 28,872,106 14,436,053 43,308,160 21,654,080 10,827,040 5,413,520 2,706,760 1,353,380 676,690 338,345 1,015,036 507,518 253,759 761,278 380,639

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