λ
Prime Ledger

1,798,188

22 × 3 × 7 × 21407
Abundant Even Composite

1,798,188 has the prime decomposition 2^2 × 3 × 7 × 21407. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 7 × 21407
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 4,795,392
Proper Divisor Sum 2,997,204
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #1798187 ← → #1798189

Radix Representation

Decimal 1798188
Binary 110110111000000101100 (21 bits)
Octal 0o6670054
Hexadecimal 0x1B702C

Divisor Catalog (24)

1 2 3 4 6 7 12 14 21 28 42 84 21,407 42,814 64,221 85,628 128,442 149,849 256,884 299,698 449,547 599,396 899,094 1,798,188

Collatz Trajectory (52 steps to reach 1)

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

1,798,188 899,094 449,547 1,348,642 674,321 2,022,964 1,011,482 505,741 1,517,224 758,612 379,306 189,653 568,960 284,480 142,240 71,120 35,560 17,780 8,890 4,445 13,336 6,668 3,334 1,667 5,002 2,501 7,504 3,752 1,876 938 469 1,408 704 352 176 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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