λ
Prime Ledger

3,964,392

23 × 32 × 55061
Abundant Even Composite

3,964,392 has the prime decomposition 2^3 × 3^2 × 55061. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 55061
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,737,090
Proper Divisor Sum 6,772,698
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3964381 ← → #3964393

Radix Representation

Decimal 3964392
Binary 1111000111110111101000 (22 bits)
Octal 0o17076750
Hexadecimal 0x3C7DE8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 55,061 110,122 165,183 220,244 330,366 440,488 495,549 660,732 991,098 1,321,464 1,982,196 3,964,392

Collatz Trajectory (167 steps to reach 1)

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

3,964,392 1,982,196 991,098 495,549 1,486,648 743,324 371,662 185,831 557,494 278,747 836,242 418,121 1,254,364 627,182 313,591 940,774 470,387 1,411,162 705,581 2,116,744 1,058,372 529,186 264,593 793,780 396,890 198,445 595,336 297,668 148,834 74,417 223,252 111,626 55,813 167,440 83,720 41,860 20,930 10,465 31,396 15,698 7,849 23,548 11,774 5,887 17,662 8,831 26,494 13,247 39,742 19,871 59,614 29,807 89,422 44,711 134,134 67,067 201,202 100,601 301,804 150,902

More profiles

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