λ
Prime Ledger

804,432

24 × 3 × 16759
Abundant Even Composite

804,432 has the prime decomposition 2^4 × 3 × 16759. Its 3 distinct prime factors produce 20 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 16759
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,078,240
Proper Divisor Sum 1,273,808
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #804409 ← → #804443

Radix Representation

Decimal 804432
Binary 11000100011001010000 (20 bits)
Octal 0o3043120
Hexadecimal 0xC4650

Divisor Catalog (20)

1 2 3 4 6 8 12 16 24 48 16,759 33,518 50,277 67,036 100,554 134,072 201,108 268,144 402,216 804,432

Collatz Trajectory (162 steps to reach 1)

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

804,432 402,216 201,108 100,554 50,277 150,832 75,416 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303 15,910 7,955 23,866 11,933 35,800 17,900 8,950 4,475 13,426 6,713 20,140 10,070 5,035 15,106 7,553 22,660 11,330 5,665 16,996 8,498 4,249 12,748 6,374 3,187 9,562 4,781 14,344 7,172 3,586 1,793 5,380 2,690 1,345 4,036 2,018 1,009 3,028 1,514 757 2,272 1,136 568 284 142

More profiles

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