203,409

3² × 97 × 233

203,409 factors as 3^2 × 97 × 233. Its 12 positive divisors give a proper-divisor sum of 94,707, so this integer is deficient. The Collatz stopping time is 173 steps.

Prime Factor Structure

Factorization String 3^2 × 97 × 233

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 298,116

Proper Divisor Sum 94,707

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #203393 ← → #203417

Radix Representation

Decimal	203409
Binary	110001101010010001 (18 bits)
Octal	0o615221
Hexadecimal	0x31A91

Divisor Catalog (12)

1 3 9 97 233 291 699 873 2,097 22,601 67,803 203,409

Collatz Trajectory (173 steps to reach 1)

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

203,409 610,228 305,114 152,557 457,672 228,836 114,418 57,209 171,628 85,814 42,907 128,722 64,361 193,084 96,542 48,271 144,814 72,407 217,222 108,611 325,834 162,917 488,752 244,376 122,188 61,094 30,547 91,642 45,821 137,464 68,732 34,366 17,183 51,550 25,775 77,326 38,663 115,990 57,995 173,986 86,993 260,980 130,490 65,245 195,736 97,868 48,934 24,467 73,402 36,701 110,104 55,052 27,526 13,763 41,290 20,645 61,936 30,968 15,484 7,742

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