λ
Modular Archive

329,336

23 × 7 × 5881
Abundant Even Composite

The decimal integer 329,336 is 1010000011001111000 in binary (19 bits), 1203170 in octal and 50678 in hexadecimal. Its digit sum is 26.

Prime Factor Structure

Factorization String 2^3 × 7 × 5881
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 705,840
Proper Divisor Sum 376,504
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #329333 ← → #329347

Radix Representation

Decimal 329336
Binary 1010000011001111000 (19 bits)
Octal 0o1203170
Hexadecimal 0x50678

Divisor Catalog (16)

1 2 4 7 8 14 28 56 5,881 11,762 23,524 41,167 47,048 82,334 164,668 329,336

Collatz Trajectory (91 steps to reach 1)

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

329,336 164,668 82,334 41,167 123,502 61,751 185,254 92,627 277,882 138,941 416,824 208,412 104,206 52,103 156,310 78,155 234,466 117,233 351,700 175,850 87,925 263,776 131,888 65,944 32,972 16,486 8,243 24,730 12,365 37,096 18,548 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096

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