λ
Integer Codex

2,124,618

2 × 3 × 19 × 18637
Abundant Even Composite

For 2,124,618, the 16 positive divisors have a total of 4,473,120. Removing 2,124,618 leaves 2,348,502, which gives the abundant classification.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 18637
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 4,473,120
Proper Divisor Sum 2,348,502
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2124601 ← → #2124631

Radix Representation

Decimal 2124618
Binary 1000000110101101001010 (22 bits)
Octal 0o10065512
Hexadecimal 0x206B4A

Divisor Catalog (16)

1 2 3 6 19 38 57 114 18,637 37,274 55,911 111,822 354,103 708,206 1,062,309 2,124,618

Collatz Trajectory (148 steps to reach 1)

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

2,124,618 1,062,309 3,186,928 1,593,464 796,732 398,366 199,183 597,550 298,775 896,326 448,163 1,344,490 672,245 2,016,736 1,008,368 504,184 252,092 126,046 63,023 189,070 94,535 283,606 141,803 425,410 212,705 638,116 319,058 159,529 478,588 239,294 119,647 358,942 179,471 538,414 269,207 807,622 403,811 1,211,434 605,717 1,817,152 908,576 454,288 227,144 113,572 56,786 28,393 85,180 42,590 21,295 63,886 31,943 95,830 47,915 143,746 71,873 215,620 107,810 53,905 161,716 80,858

More profiles

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