λ
Prime Ledger

4,686,018

2 × 3 × 781003
Abundant Even Composite

4,686,018 has the prime decomposition 2 × 3 × 781003. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 781003
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,372,048
Proper Divisor Sum 4,686,030
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #4686007 ← → #4686029

Radix Representation

Decimal 4686018
Binary 10001111000000011000010 (23 bits)
Octal 0o21700302
Hexadecimal 0x4780C2

Divisor Catalog (8)

1 2 3 6 781,003 1,562,006 2,343,009 4,686,018

Collatz Trajectory (162 steps to reach 1)

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

4,686,018 2,343,009 7,029,028 3,514,514 1,757,257 5,271,772 2,635,886 1,317,943 3,953,830 1,976,915 5,930,746 2,965,373 8,896,120 4,448,060 2,224,030 1,112,015 3,336,046 1,668,023 5,004,070 2,502,035 7,506,106 3,753,053 11,259,160 5,629,580 2,814,790 1,407,395 4,222,186 2,111,093 6,333,280 3,166,640 1,583,320 791,660 395,830 197,915 593,746 296,873 890,620 445,310 222,655 667,966 333,983 1,001,950 500,975 1,502,926 751,463 2,254,390 1,127,195 3,381,586 1,690,793 5,072,380 2,536,190 1,268,095 3,804,286 1,902,143 5,706,430 2,853,215 8,559,646 4,279,823 12,839,470 6,419,735

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