λ
Prime Ledger

533,529

32 × 59281
Deficient Odd Composite

533,529 has the prime decomposition 3^2 × 59281. Its 2 distinct prime factors produce 6 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 59281
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 770,666
Proper Divisor Sum 237,137
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #533509 ← → #533543

Radix Representation

Decimal 533529
Binary 10000010010000011001 (20 bits)
Octal 0o2022031
Hexadecimal 0x82419

Divisor Catalog (6)

1 3 9 59,281 177,843 533,529

Collatz Trajectory (94 steps to reach 1)

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

533,529 1,600,588 800,294 400,147 1,200,442 600,221 1,800,664 900,332 450,166 225,083 675,250 337,625 1,012,876 506,438 253,219 759,658 379,829 1,139,488 569,744 284,872 142,436 71,218 35,609 106,828 53,414 26,707 80,122 40,061 120,184 60,092 30,046 15,023 45,070 22,535 67,606 33,803 101,410 50,705 152,116 76,058 38,029 114,088 57,044 28,522 14,261 42,784 21,392 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388

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