λ
Integer Codex

4,062,384

24 × 32 × 28211
Abundant Even Composite

For 4,062,384, the 30 positive divisors have a total of 11,369,436. Removing 4,062,384 leaves 7,307,052, which gives the abundant classification.

Prime Factor Structure

Factorization String 2^4 × 3^2 × 28211
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 30
Divisor Sum (σ) 11,369,436
Proper Divisor Sum 7,307,052
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4062361 ← → #4062413

Radix Representation

Decimal 4062384
Binary 1111011111110010110000 (22 bits)
Octal 0o17376260
Hexadecimal 0x3DFCB0

Divisor Catalog (30)

1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 28,211 56,422 84,633 112,844 169,266 225,688 253,899 338,532 451,376 507,798 677,064 1,015,596 1,354,128 2,031,192 4,062,384

Collatz Trajectory (110 steps to reach 1)

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

4,062,384 2,031,192 1,015,596 507,798 253,899 761,698 380,849 1,142,548 571,274 285,637 856,912 428,456 214,228 107,114 53,557 160,672 80,336 40,168 20,084 10,042 5,021 15,064 7,532 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718

More profiles

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