173,442

2 × 3 × 137 × 211

173,442 has digital root 3. The neighboring primes are 173431 and 173473; its proper-divisor sum differs from the starting integer by 4,188.

Prime Factor Structure

Factorization String 2 × 3 × 137 × 211

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 351,072

Proper Divisor Sum 177,630

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #173431 ← → #173473

Radix Representation

Decimal	173442
Binary	101010010110000010 (18 bits)
Octal	0o522602
Hexadecimal	0x2A582

Divisor Catalog (16)

1 2 3 6 137 211 274 411 422 633 822 1,266 28,907 57,814 86,721 173,442

Collatz Trajectory (46 steps to reach 1)

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

173,442 86,721 260,164 130,082 65,041 195,124 97,562 48,781 146,344 73,172 36,586 18,293 54,880 27,440 13,720 6,860 3,430 1,715 5,146 2,573 7,720 3,860 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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