λ
Prime Ledger

340,566

2 × 3 × 31 × 1831
Abundant Even Composite

340,566 has the prime decomposition 2 × 3 × 31 × 1831. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 31 × 1831
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 703,488
Proper Divisor Sum 362,922
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #340559 ← → #340573

Radix Representation

Decimal 340566
Binary 1010011001001010110 (19 bits)
Octal 0o1231126
Hexadecimal 0x53256

Divisor Catalog (16)

1 2 3 6 31 62 93 186 1,831 3,662 5,493 10,986 56,761 113,522 170,283 340,566

Collatz Trajectory (104 steps to reach 1)

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

340,566 170,283 510,850 255,425 766,276 383,138 191,569 574,708 287,354 143,677 431,032 215,516 107,758 53,879 161,638 80,819 242,458 121,229 363,688 181,844 90,922 45,461 136,384 68,192 34,096 17,048 8,524 4,262 2,131 6,394 3,197 9,592 4,796 2,398 1,199 3,598 1,799 5,398 2,699 8,098 4,049 12,148 6,074 3,037 9,112 4,556 2,278 1,139 3,418 1,709 5,128 2,564 1,282 641 1,924 962 481 1,444 722 361

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