λ
Prime Ledger

1,100,780

22 × 5 × 23 × 2393
Abundant Even Composite

1,100,780 has the prime decomposition 2^2 × 5 × 23 × 2393. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 5 × 23 × 2393
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,413,152
Proper Divisor Sum 1,312,372
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #1100777 ← → #1100783

Radix Representation

Decimal 1100780
Binary 100001100101111101100 (21 bits)
Octal 0o4145754
Hexadecimal 0x10CBEC

Divisor Catalog (24)

1 2 4 5 10 20 23 46 92 115 230 460 2,393 4,786 9,572 11,965 23,930 47,860 55,039 110,078 220,156 275,195 550,390 1,100,780

Collatz Trajectory (85 steps to reach 1)

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

1,100,780 550,390 275,195 825,586 412,793 1,238,380 619,190 309,595 928,786 464,393 1,393,180 696,590 348,295 1,044,886 522,443 1,567,330 783,665 2,350,996 1,175,498 587,749 1,763,248 881,624 440,812 220,406 110,203 330,610 165,305 495,916 247,958 123,979 371,938 185,969 557,908 278,954 139,477 418,432 209,216 104,608 52,304 26,152 13,076 6,538 3,269 9,808 4,904 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65 196

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