533,673

3² × 7 × 43 × 197

533,673 is odd and not a perfect square. Its factorization is 3^2 × 7 × 43 × 197 and its 24 divisors sum to 906,048.

Prime Factor Structure

Factorization String 3^2 × 7 × 43 × 197

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 906,048

Proper Divisor Sum 372,375

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #533671 ← → #533693

Radix Representation

Decimal	533673
Binary	10000010010010101001 (20 bits)
Octal	0o2022251
Hexadecimal	0x824A9

Divisor Catalog (24)

1 3 7 9 21 43 63 129 197 301 387 591 903 1,379 1,773 2,709 4,137 8,471 12,411 25,413 59,297 76,239 177,891 533,673

Collatz Trajectory (239 steps to reach 1)

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

533,673 1,601,020 800,510 400,255 1,200,766 600,383 1,801,150 900,575 2,701,726 1,350,863 4,052,590 2,026,295 6,078,886 3,039,443 9,118,330 4,559,165 13,677,496 6,838,748 3,419,374 1,709,687 5,129,062 2,564,531 7,693,594 3,846,797 11,540,392 5,770,196 2,885,098 1,442,549 4,327,648 2,163,824 1,081,912 540,956 270,478 135,239 405,718 202,859 608,578 304,289 912,868 456,434 228,217 684,652 342,326 171,163 513,490 256,745 770,236 385,118 192,559 577,678 288,839 866,518 433,259 1,299,778 649,889 1,949,668 974,834 487,417 1,462,252 731,126

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