λ
Modular Archive

330,004

22 × 17 × 23 × 211
Deficient Even Composite

The decimal integer 330,004 is 1010000100100010100 in binary (19 bits), 1204424 in octal and 50914 in hexadecimal. Its digit sum is 10.

Prime Factor Structure

Factorization String 2^2 × 17 × 23 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 641,088
Proper Divisor Sum 311,084
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #329999 ← → #330017

Radix Representation

Decimal 330004
Binary 1010000100100010100 (19 bits)
Octal 0o1204424
Hexadecimal 0x50914

Divisor Catalog (24)

1 2 4 17 23 34 46 68 92 211 391 422 782 844 1,564 3,587 4,853 7,174 9,706 14,348 19,412 82,501 165,002 330,004

Collatz Trajectory (91 steps to reach 1)

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

330,004 165,002 82,501 247,504 123,752 61,876 30,938 15,469 46,408 23,204 11,602 5,801 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397 4,192 2,096

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