λ
Prime Ledger

2,883,876

22 × 3 × 29 × 8287
Abundant Even Composite

2,883,876 has the prime decomposition 2^2 × 3 × 29 × 8287. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 29 × 8287
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,961,920
Proper Divisor Sum 4,078,044
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2883851 ← → #2883887

Radix Representation

Decimal 2883876
Binary 1011000000000100100100 (22 bits)
Octal 0o13000444
Hexadecimal 0x2C0124

Divisor Catalog (24)

1 2 3 4 6 12 29 58 87 116 174 348 8,287 16,574 24,861 33,148 49,722 99,444 240,323 480,646 720,969 961,292 1,441,938 2,883,876

Collatz Trajectory (94 steps to reach 1)

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

2,883,876 1,441,938 720,969 2,162,908 1,081,454 540,727 1,622,182 811,091 2,433,274 1,216,637 3,649,912 1,824,956 912,478 456,239 1,368,718 684,359 2,053,078 1,026,539 3,079,618 1,539,809 4,619,428 2,309,714 1,154,857 3,464,572 1,732,286 866,143 2,598,430 1,299,215 3,897,646 1,948,823 5,846,470 2,923,235 8,769,706 4,384,853 13,154,560 6,577,280 3,288,640 1,644,320 822,160 411,080 205,540 102,770 51,385 154,156 77,078 38,539 115,618 57,809 173,428 86,714 43,357 130,072 65,036 32,518 16,259 48,778 24,389 73,168 36,584 18,292

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