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335,664

24 × 34 × 7 × 37
Abundant Even Composite

Prime Factor Structure

Factorization String 2^4 × 3^4 × 7 × 37
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 100
Divisor Sum (σ) 1,140,304
Proper Divisor Sum 804,640
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #335663 ← → #335669

Radix Representation

Decimal 335664
Binary 1010001111100110000 (19 bits)
Octal 0o1217460
Hexadecimal 0x51F30

Divisor Catalog (60 of 100)

1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 37 42 48 54 56 63 72 74 81 84 108 111 112 126 144 148 162 168 189 216 222 252 259 296 324 333 336 378 432 444 504 518 567 592 648 666 756 777 888 999 1,008 1,036 1,134

Collatz Trajectory (60 steps to reach 1)

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

335,664 167,832 83,916 41,958 20,979 62,938 31,469 94,408 47,204 23,602 11,801 35,404 17,702 8,851 26,554 13,277 39,832 19,916 9,958 4,979 14,938 7,469 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2

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