208,765

5 × 43 × 971

208,765 is odd and not a perfect square. Its factorization is 5 × 43 × 971 and its 8 divisors sum to 256,608.

Prime Factor Structure

Factorization String 5 × 43 × 971

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 256,608

Proper Divisor Sum 47,843

Digit Sum / Digital Root 28 (Root: 1)

Adjacent Primes #208759 ← → #208787

Radix Representation

Decimal	208765
Binary	110010111101111101 (18 bits)
Octal	0o627575
Hexadecimal	0x32F7D

Divisor Catalog (8)

1 5 43 215 971 4,855 41,753 208,765

Collatz Trajectory (129 steps to reach 1)

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

208,765 626,296 313,148 156,574 78,287 234,862 117,431 352,294 176,147 528,442 264,221 792,664 396,332 198,166 99,083 297,250 148,625 445,876 222,938 111,469 334,408 167,204 83,602 41,801 125,404 62,702 31,351 94,054 47,027 141,082 70,541 211,624 105,812 52,906 26,453 79,360 39,680 19,840 9,920 4,960 2,480 1,240 620 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890 445 1,336

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