λ
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1,100,540

22 × 5 × 72 × 1123
Abundant Even Composite

1,100,540 factors as 2^2 × 5 × 7^2 × 1123. Its 36 positive divisors give a proper-divisor sum of 1,590,316, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7^2 × 1123
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 2,690,856
Proper Divisor Sum 1,590,316
Digit Sum / Digital Root 11 (Root: 2)
Adjacent Primes #1100513 ← → #1100543

Radix Representation

Decimal 1100540
Binary 100001100101011111100 (21 bits)
Octal 0o4145374
Hexadecimal 0x10CAFC

Divisor Catalog (36)

1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 490 980 1,123 2,246 4,492 5,615 7,861 11,230 15,722 22,460 31,444 39,305 55,027 78,610 110,054 157,220 220,108 275,135 550,270 1,100,540

Collatz Trajectory (178 steps to reach 1)

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

1,100,540 550,270 275,135 825,406 412,703 1,238,110 619,055 1,857,166 928,583 2,785,750 1,392,875 4,178,626 2,089,313 6,267,940 3,133,970 1,566,985 4,700,956 2,350,478 1,175,239 3,525,718 1,762,859 5,288,578 2,644,289 7,932,868 3,966,434 1,983,217 5,949,652 2,974,826 1,487,413 4,462,240 2,231,120 1,115,560 557,780 278,890 139,445 418,336 209,168 104,584 52,292 26,146 13,073 39,220 19,610 9,805 29,416 14,708 7,354 3,677 11,032 5,516 2,758 1,379 4,138 2,069 6,208 3,104 1,552 776 388 194

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