λ
Prime Ledger

242,687

19 × 53 × 241
Deficient Odd Composite

242,687 has the prime decomposition 19 × 53 × 241. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 19 × 53 × 241
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 261,360
Proper Divisor Sum 18,673
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #242681 ← → #242689

Radix Representation

Decimal 242687
Binary 111011001111111111 (18 bits)
Octal 0o731777
Hexadecimal 0x3B3FF

Divisor Catalog (8)

1 19 53 241 1,007 4,579 12,773 242,687

Collatz Trajectory (150 steps to reach 1)

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

242,687 728,062 364,031 1,092,094 546,047 1,638,142 819,071 2,457,214 1,228,607 3,685,822 1,842,911 5,528,734 2,764,367 8,293,102 4,146,551 12,439,654 6,219,827 18,659,482 9,329,741 27,989,224 13,994,612 6,997,306 3,498,653 10,495,960 5,247,980 2,623,990 1,311,995 3,935,986 1,967,993 5,903,980 2,951,990 1,475,995 4,427,986 2,213,993 6,641,980 3,320,990 1,660,495 4,981,486 2,490,743 7,472,230 3,736,115 11,208,346 5,604,173 16,812,520 8,406,260 4,203,130 2,101,565 6,304,696 3,152,348 1,576,174 788,087 2,364,262 1,182,131 3,546,394 1,773,197 5,319,592 2,659,796 1,329,898 664,949 1,994,848

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