208,265

5 × 23 × 1811

208,265 factors as 5 × 23 × 1811. Its 8 positive divisors give a proper-divisor sum of 52,663, so this integer is deficient. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 5 × 23 × 1811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 260,928

Proper Divisor Sum 52,663

Digit Sum / Digital Root 23 (Root: 5)

Adjacent Primes #208261 ← → #208277

Radix Representation

Decimal	208265
Binary	110010110110001001 (18 bits)
Octal	0o626611
Hexadecimal	0x32D89

Divisor Catalog (8)

1 5 23 115 1,811 9,055 41,653 208,265

Collatz Trajectory (67 steps to reach 1)

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

208,265 624,796 312,398 156,199 468,598 234,299 702,898 351,449 1,054,348 527,174 263,587 790,762 395,381 1,186,144 593,072 296,536 148,268 74,134 37,067 111,202 55,601 166,804 83,402 41,701 125,104 62,552 31,276 15,638 7,819 23,458 11,729 35,188 17,594 8,797 26,392 13,196 6,598 3,299 9,898 4,949 14,848 7,424 3,712 1,856 928 464 232 116 58 29 88 44 22 11 34 17 52 26 13 40

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