λ
Prime Ledger

1,800,561

3 × 7 × 179 × 479
Deficient Odd Composite

1,800,561 has the prime decomposition 3 × 7 × 179 × 479. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 7 × 179 × 479
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,764,800
Proper Divisor Sum 964,239
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #1800553 ← → #1800563

Radix Representation

Decimal 1800561
Binary 110110111100101110001 (21 bits)
Octal 0o6674561
Hexadecimal 0x1B7971

Divisor Catalog (16)

1 3 7 21 179 479 537 1,253 1,437 3,353 3,759 10,059 85,741 257,223 600,187 1,800,561

Collatz Trajectory (158 steps to reach 1)

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

1,800,561 5,401,684 2,700,842 1,350,421 4,051,264 2,025,632 1,012,816 506,408 253,204 126,602 63,301 189,904 94,952 47,476 23,738 11,869 35,608 17,804 8,902 4,451 13,354 6,677 20,032 10,016 5,008 2,504 1,252 626 313 940 470 235 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323

More profiles

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