λ
Prime Ledger

1,028,780

22 × 5 × 51439
Abundant Even Composite

1,028,780 has the prime decomposition 2^2 × 5 × 51439. Its 3 distinct prime factors produce 12 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 51439
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,160,480
Proper Divisor Sum 1,131,700
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1028777 ← → #1028803

Radix Representation

Decimal 1028780
Binary 11111011001010101100 (20 bits)
Octal 0o3731254
Hexadecimal 0xFB2AC

Divisor Catalog (12)

1 2 4 5 10 20 51,439 102,878 205,756 257,195 514,390 1,028,780

Collatz Trajectory (51 steps to reach 1)

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

1,028,780 514,390 257,195 771,586 385,793 1,157,380 578,690 289,345 868,036 434,018 217,009 651,028 325,514 162,757 488,272 244,136 122,068 61,034 30,517 91,552 45,776 22,888 11,444 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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