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Modular Archive

13,404

22 × 3 × 1117
Abundant Even Composite

The decimal integer 13,404 is 11010001011100 in binary (14 bits), 32134 in octal and 345C in hexadecimal. Its digit sum is 12.

Prime Factor Structure

Factorization String 2^2 × 3 × 1117
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 31,304
Proper Divisor Sum 17,900
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #13399 ← → #13411

Radix Representation

Decimal 13404
Binary 11010001011100 (14 bits)
Octal 0o32134
Hexadecimal 0x345C

Divisor Catalog (12)

1 2 3 4 6 12 1,117 2,234 3,351 4,468 6,702 13,404

Collatz Trajectory (138 steps to reach 1)

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

13,404 6,702 3,351 10,054 5,027 15,082 7,541 22,624 11,312 5,656 2,828 1,414 707 2,122 1,061 3,184 1,592 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253 760 380 190 95 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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