λ
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378,666

2 × 32 × 109 × 193
Abundant Even Composite

378,666 factors as 2 × 3^2 × 109 × 193. Its 24 positive divisors give a proper-divisor sum of 453,594, so this integer is abundant. The Collatz stopping time is 104 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 109 × 193
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 832,260
Proper Divisor Sum 453,594
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #378661 ← → #378667

Radix Representation

Decimal 378666
Binary 1011100011100101010 (19 bits)
Octal 0o1343452
Hexadecimal 0x5C72A

Divisor Catalog (24)

1 2 3 6 9 18 109 193 218 327 386 579 654 981 1,158 1,737 1,962 3,474 21,037 42,074 63,111 126,222 189,333 378,666

Collatz Trajectory (104 steps to reach 1)

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

378,666 189,333 568,000 284,000 142,000 71,000 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429

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