λ
Modular Archive

173,187

32 × 7 × 2749
Deficient Odd Composite

The decimal integer 173,187 is 101010010010000011 in binary (18 bits), 522203 in octal and 2A483 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 7 × 2749
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 286,000
Proper Divisor Sum 112,813
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #173183 ← → #173189

Radix Representation

Decimal 173187
Binary 101010010010000011 (18 bits)
Octal 0o522203
Hexadecimal 0x2A483

Divisor Catalog (12)

1 3 7 9 21 63 2,749 8,247 19,243 24,741 57,729 173,187

Collatz Trajectory (72 steps to reach 1)

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

173,187 519,562 259,781 779,344 389,672 194,836 97,418 48,709 146,128 73,064 36,532 18,266 9,133 27,400 13,700 6,850 3,425 10,276 5,138 2,569 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98 49 148 74 37 112 56 28 14 7 22 11 34

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