173,121

3 × 13 × 23 × 193

173,121 factors as 3 × 13 × 23 × 193. Its 16 positive divisors give a proper-divisor sum of 87,615, so this integer is deficient. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 3 × 13 × 23 × 193

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 260,736

Proper Divisor Sum 87,615

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #173099 ← → #173137

Radix Representation

Decimal	173121
Binary	101010010001000001 (18 bits)
Octal	0o522101
Hexadecimal	0x2A441

Divisor Catalog (16)

1 3 13 23 39 69 193 299 579 897 2,509 4,439 7,527 13,317 57,707 173,121

Collatz Trajectory (77 steps to reach 1)

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

173,121 519,364 259,682 129,841 389,524 194,762 97,381 292,144 146,072 73,036 36,518 18,259 54,778 27,389 82,168 41,084 20,542 10,271 30,814 15,407 46,222 23,111 69,334 34,667 104,002 52,001 156,004 78,002 39,001 117,004 58,502 29,251 87,754 43,877 131,632 65,816 32,908 16,454 8,227 24,682 12,341 37,024 18,512 9,256 4,628 2,314 1,157 3,472 1,736 868 434 217 652 326 163 490 245 736 368 184

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