λ
Modular Archive

396,624

24 × 3 × 8263
Abundant Even Composite

The decimal integer 396,624 is 1100000110101010000 in binary (19 bits), 1406520 in octal and 60D50 in hexadecimal. Its digit sum is 30.

Prime Factor Structure

Factorization String 2^4 × 3 × 8263
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 1,024,736
Proper Divisor Sum 628,112
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #396623 ← → #396629

Radix Representation

Decimal 396624
Binary 1100000110101010000 (19 bits)
Octal 0o1406520
Hexadecimal 0x60D50

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 8,263 16,526 24,789 33,052 49,578 66,104 99,156 132,208 198,312 396,624

Collatz Trajectory (130 steps to reach 1)

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

396,624 198,312 99,156 49,578 24,789 74,368 37,184 18,592 9,296 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445

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