λ
Prime Ledger

558,549

33 × 137 × 151
Deficient Odd Composite

558,549 has the prime decomposition 3^3 × 137 × 151. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3^3 × 137 × 151
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 839,040
Proper Divisor Sum 280,491
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #558541 ← → #558563

Radix Representation

Decimal 558549
Binary 10001000010111010101 (20 bits)
Octal 0o2102725
Hexadecimal 0x885D5

Divisor Catalog (16)

1 3 9 27 137 151 411 453 1,233 1,359 3,699 4,077 20,687 62,061 186,183 558,549

Collatz Trajectory (146 steps to reach 1)

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

558,549 1,675,648 837,824 418,912 209,456 104,728 52,364 26,182 13,091 39,274 19,637 58,912 29,456 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103

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