233,967

3 × 167 × 467

233,967 has the prime decomposition 3 × 167 × 467. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 3 × 167 × 467

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 314,496

Proper Divisor Sum 80,529

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #233941 ← → #233969

Radix Representation

Decimal	233967
Binary	111001000111101111 (18 bits)
Octal	0o710757
Hexadecimal	0x391EF

Divisor Catalog (8)

1 3 167 467 501 1,401 77,989 233,967

Collatz Trajectory (129 steps to reach 1)

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

233,967 701,902 350,951 1,052,854 526,427 1,579,282 789,641 2,368,924 1,184,462 592,231 1,776,694 888,347 2,665,042 1,332,521 3,997,564 1,998,782 999,391 2,998,174 1,499,087 4,497,262 2,248,631 6,745,894 3,372,947 10,118,842 5,059,421 15,178,264 7,589,132 3,794,566 1,897,283 5,691,850 2,845,925 8,537,776 4,268,888 2,134,444 1,067,222 533,611 1,600,834 800,417 2,401,252 1,200,626 600,313 1,800,940 900,470 450,235 1,350,706 675,353 2,026,060 1,013,030 506,515 1,519,546 759,773 2,279,320 1,139,660 569,830 284,915 854,746 427,373 1,282,120 641,060 320,530

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