λ
Prime Ledger

1,771,084

22 × 7 × 43 × 1471
Abundant Even Composite

1,771,084 has the prime decomposition 2^2 × 7 × 43 × 1471. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 7 × 43 × 1471
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,627,008
Proper Divisor Sum 1,855,924
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1771057 ← → #1771087

Radix Representation

Decimal 1771084
Binary 110110000011001001100 (21 bits)
Octal 0o6603114
Hexadecimal 0x1B064C

Divisor Catalog (24)

1 2 4 7 14 28 43 86 172 301 602 1,204 1,471 2,942 5,884 10,297 20,594 41,188 63,253 126,506 253,012 442,771 885,542 1,771,084

Collatz Trajectory (52 steps to reach 1)

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

1,771,084 885,542 442,771 1,328,314 664,157 1,992,472 996,236 498,118 249,059 747,178 373,589 1,120,768 560,384 280,192 140,096 70,048 35,024 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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