208,341

3² × 7 × 3307

For 208,341, the 12 positive divisors have a total of 344,032. Removing 208,341 leaves 135,691, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 3307

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 344,032

Proper Divisor Sum 135,691

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #208337 ← → #208367

Radix Representation

Decimal	208341
Binary	110010110111010101 (18 bits)
Octal	0o626725
Hexadecimal	0x32DD5

Divisor Catalog (12)

1 3 7 9 21 63 3,307 9,921 23,149 29,763 69,447 208,341

Collatz Trajectory (80 steps to reach 1)

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

208,341 625,024 312,512 156,256 78,128 39,064 19,532 9,766 4,883 14,650 7,325 21,976 10,988 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096 1,048 524 262 131 394 197 592 296 148 74 37

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