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Modular Archive

18,174

2 × 3 × 13 × 233
Abundant Even Composite

The decimal integer 18,174 is 100011011111110 in binary (15 bits), 43376 in octal and 46FE in hexadecimal. Its digit sum is 21.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 233
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 39,312
Proper Divisor Sum 21,138
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #18169 ← → #18181

Radix Representation

Decimal 18174
Binary 100011011111110 (15 bits)
Octal 0o43376
Hexadecimal 0x46FE

Divisor Catalog (16)

1 2 3 6 13 26 39 78 233 466 699 1,398 3,029 6,058 9,087 18,174

Collatz Trajectory (185 steps to reach 1)

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

18,174 9,087 27,262 13,631 40,894 20,447 61,342 30,671 92,014 46,007 138,022 69,011 207,034 103,517 310,552 155,276 77,638 38,819 116,458 58,229 174,688 87,344 43,672 21,836 10,918 5,459 16,378 8,189 24,568 12,284 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654 23,327 69,982 34,991 104,974 52,487 157,462 78,731 236,194 118,097 354,292 177,146 88,573 265,720 132,860 66,430 33,215 99,646 49,823 149,470

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