λ
Prime Ledger

1,027,188

22 × 33 × 9511
Abundant Even Composite

1,027,188 has the prime decomposition 2^2 × 3^3 × 9511. Its 3 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^3 × 9511
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,663,360
Proper Divisor Sum 1,636,172
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1027181 ← → #1027189

Radix Representation

Decimal 1027188
Binary 11111010110001110100 (20 bits)
Octal 0o3726164
Hexadecimal 0xFAC74

Divisor Catalog (24)

1 2 3 4 6 9 12 18 27 36 54 108 9,511 19,022 28,533 38,044 57,066 85,599 114,132 171,198 256,797 342,396 513,594 1,027,188

Collatz Trajectory (196 steps to reach 1)

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

1,027,188 513,594 256,797 770,392 385,196 192,598 96,299 288,898 144,449 433,348 216,674 108,337 325,012 162,506 81,253 243,760 121,880 60,940 30,470 15,235 45,706 22,853 68,560 34,280 17,140 8,570 4,285 12,856 6,428 3,214 1,607 4,822 2,411 7,234 3,617 10,852 5,426 2,713 8,140 4,070 2,035 6,106 3,053 9,160 4,580 2,290 1,145 3,436 1,718 859 2,578 1,289 3,868 1,934 967 2,902 1,451 4,354 2,177 6,532

More profiles

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