λ
Prime Ledger

3,804,246

2 × 34 × 23 × 1021
Abundant Even Composite

3,804,246 has the prime decomposition 2 × 3^4 × 23 × 1021. Its 4 distinct prime factors produce 40 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^4 × 23 × 1021
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 8,903,664
Proper Divisor Sum 5,099,418
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3804233 ← → #3804259

Radix Representation

Decimal 3804246
Binary 1110100000110001010110 (22 bits)
Octal 0o16406126
Hexadecimal 0x3A0C56

Divisor Catalog (40)

1 2 3 6 9 18 23 27 46 54 69 81 138 162 207 414 621 1,021 1,242 1,863 2,042 3,063 3,726 6,126 9,189 18,378 23,483 27,567 46,966 55,134 70,449 82,701 140,898 165,402 211,347 422,694 634,041 1,268,082 1,902,123 3,804,246

Collatz Trajectory (102 steps to reach 1)

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

3,804,246 1,902,123 5,706,370 2,853,185 8,559,556 4,279,778 2,139,889 6,419,668 3,209,834 1,604,917 4,814,752 2,407,376 1,203,688 601,844 300,922 150,461 451,384 225,692 112,846 56,423 169,270 84,635 253,906 126,953 380,860 190,430 95,215 285,646 142,823 428,470 214,235 642,706 321,353 964,060 482,030 241,015 723,046 361,523 1,084,570 542,285 1,626,856 813,428 406,714 203,357 610,072 305,036 152,518 76,259 228,778 114,389 343,168 171,584 85,792 42,896 21,448 10,724 5,362 2,681 8,044 4,022

More profiles

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