209,329

353 × 593

209,329 factors as 353 × 593. Its 4 positive divisors give a proper-divisor sum of 947, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 353 × 593

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 4

Divisor Sum (σ) 210,276

Proper Divisor Sum 947

Digit Sum / Digital Root 25 (Root: 7)

Adjacent Primes #209327 ← → #209333

Radix Representation

Decimal	209329
Binary	110011000110110001 (18 bits)
Octal	0o630661
Hexadecimal	0x331B1

Divisor Catalog (4)

1 353 593 209,329

Collatz Trajectory (155 steps to reach 1)

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

209,329 627,988 313,994 156,997 470,992 235,496 117,748 58,874 29,437 88,312 44,156 22,078 11,039 33,118 16,559 49,678 24,839 74,518 37,259 111,778 55,889 167,668 83,834 41,917 125,752 62,876 31,438 15,719 47,158 23,579 70,738 35,369 106,108 53,054 26,527 79,582 39,791 119,374 59,687 179,062 89,531 268,594 134,297 402,892 201,446 100,723 302,170 151,085 453,256 226,628 113,314 56,657 169,972 84,986 42,493 127,480 63,740 31,870 15,935 47,806

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