173,522

2 × 53 × 1637

Starting at 173,522, the Collatz iteration reaches 1 after 183 steps. The first transition is 86761; the starting value is even with 8 positive divisors.

Prime Factor Structure

Factorization String 2 × 53 × 1637

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 265,356

Proper Divisor Sum 91,834

Digit Sum / Digital Root 20 (Root: 2)

Adjacent Primes #173501 ← → #173531

Radix Representation

Decimal	173522
Binary	101010010111010010 (18 bits)
Octal	0o522722
Hexadecimal	0x2A5D2

Divisor Catalog (8)

1 2 53 106 1,637 3,274 86,761 173,522

Collatz Trajectory (183 steps to reach 1)

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

173,522 86,761 260,284 130,142 65,071 195,214 97,607 292,822 146,411 439,234 219,617 658,852 329,426 164,713 494,140 247,070 123,535 370,606 185,303 555,910 277,955 833,866 416,933 1,250,800 625,400 312,700 156,350 78,175 234,526 117,263 351,790 175,895 527,686 263,843 791,530 395,765 1,187,296 593,648 296,824 148,412 74,206 37,103 111,310 55,655 166,966 83,483 250,450 125,225 375,676 187,838 93,919 281,758 140,879 422,638 211,319 633,958 316,979 950,938 475,469 1,426,408

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