λ
Modular Archive

329,667

3 × 13 × 79 × 107
Deficient Odd Composite

The decimal integer 329,667 is 1010000011111000011 in binary (19 bits), 1203703 in octal and 507C3 in hexadecimal. Its digit sum is 33.

Prime Factor Structure

Factorization String 3 × 13 × 79 × 107
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 483,840
Proper Divisor Sum 154,173
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #329663 ← → #329671

Radix Representation

Decimal 329667
Binary 1010000011111000011 (19 bits)
Octal 0o1203703
Hexadecimal 0x507C3

Divisor Catalog (16)

1 3 13 39 79 107 237 321 1,027 1,391 3,081 4,173 8,453 25,359 109,889 329,667

Collatz Trajectory (91 steps to reach 1)

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

329,667 989,002 494,501 1,483,504 741,752 370,876 185,438 92,719 278,158 139,079 417,238 208,619 625,858 312,929 938,788 469,394 234,697 704,092 352,046 176,023 528,070 264,035 792,106 396,053 1,188,160 594,080 297,040 148,520 74,260 37,130 18,565 55,696 27,848 13,924 6,962 3,481 10,444 5,222 2,611 7,834 3,917 11,752 5,876 2,938 1,469 4,408 2,204 1,102 551 1,654 827 2,482 1,241 3,724 1,862 931 2,794 1,397 4,192 2,096

More profiles

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