529,261

17 × 163 × 191

529,261 factors as 17 × 163 × 191. Its 8 positive divisors give a proper-divisor sum of 37,523, so this integer is deficient. The Collatz stopping time is 195 steps.

Prime Factor Structure

Factorization String 17 × 163 × 191

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 566,784

Proper Divisor Sum 37,523

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #529259 ← → #529271

Radix Representation

Decimal	529261
Binary	10000001001101101101 (20 bits)
Octal	0o2011555
Hexadecimal	0x8136D

Divisor Catalog (8)

1 17 163 191 2,771 3,247 31,133 529,261

Collatz Trajectory (195 steps to reach 1)

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

529,261 1,587,784 793,892 396,946 198,473 595,420 297,710 148,855 446,566 223,283 669,850 334,925 1,004,776 502,388 251,194 125,597 376,792 188,396 94,198 47,099 141,298 70,649 211,948 105,974 52,987 158,962 79,481 238,444 119,222 59,611 178,834 89,417 268,252 134,126 67,063 201,190 100,595 301,786 150,893 452,680 226,340 113,170 56,585 169,756 84,878 42,439 127,318 63,659 190,978 95,489 286,468 143,234 71,617 214,852 107,426 53,713 161,140 80,570 40,285 120,856

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