λ
Prime Ledger

1,792,821

3 × 19 × 71 × 443
Deficient Odd Composite

1,792,821 has the prime decomposition 3 × 19 × 71 × 443. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 19 × 71 × 443
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,557,440
Proper Divisor Sum 764,619
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1792793 ← → #1792849

Radix Representation

Decimal 1792821
Binary 110110101101100110101 (21 bits)
Octal 0o6655465
Hexadecimal 0x1B5B35

Divisor Catalog (16)

1 3 19 57 71 213 443 1,329 1,349 4,047 8,417 25,251 31,453 94,359 597,607 1,792,821

Collatz Trajectory (39 steps to reach 1)

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

1,792,821 5,378,464 2,689,232 1,344,616 672,308 336,154 168,077 504,232 252,116 126,058 63,029 189,088 94,544 47,272 23,636 11,818 5,909 17,728 8,864 4,432 2,216 1,108 554 277 832 416 208 104 52 26 13 40 20 10 5 16 8 4 2 1

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