λ
Harmonic Matrix

3,039,918

2 × 3 × 7 × 72379
Abundant Even Composite

3,039,918 has digital root 6. The neighboring primes are 3039917 and 3039919; its proper-divisor sum differs from the starting integer by 868,644.

Prime Factor Structure

Factorization String 2 × 3 × 7 × 72379
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,948,480
Proper Divisor Sum 3,908,562
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #3039917 ← → #3039919

Radix Representation

Decimal 3039918
Binary 1011100110001010101110 (22 bits)
Octal 0o13461256
Hexadecimal 0x2E62AE

Divisor Catalog (16)

1 2 3 6 7 14 21 42 72,379 144,758 217,137 434,274 506,653 1,013,306 1,519,959 3,039,918

Collatz Trajectory (133 steps to reach 1)

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

3,039,918 1,519,959 4,559,878 2,279,939 6,839,818 3,419,909 10,259,728 5,129,864 2,564,932 1,282,466 641,233 1,923,700 961,850 480,925 1,442,776 721,388 360,694 180,347 541,042 270,521 811,564 405,782 202,891 608,674 304,337 913,012 456,506 228,253 684,760 342,380 171,190 85,595 256,786 128,393 385,180 192,590 96,295 288,886 144,443 433,330 216,665 649,996 324,998 162,499 487,498 243,749 731,248 365,624 182,812 91,406 45,703 137,110 68,555 205,666 102,833 308,500 154,250 77,125 231,376 115,688

More profiles

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