λ
Sigma Notebook

1,106,320

24 × 5 × 13829
Abundant Even Composite

1,106,320 is even and not a perfect square. Its factorization is 2^4 × 5 × 13829 and its 20 divisors sum to 2,572,380.

Prime Factor Structure

Factorization String 2^4 × 5 × 13829
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,572,380
Proper Divisor Sum 1,466,060
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #1106317 ← → #1106363

Radix Representation

Decimal 1106320
Binary 100001110000110010000 (21 bits)
Octal 0o4160620
Hexadecimal 0x10E190

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 13,829 27,658 55,316 69,145 110,632 138,290 221,264 276,580 553,160 1,106,320

Collatz Trajectory (116 steps to reach 1)

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

1,106,320 553,160 276,580 138,290 69,145 207,436 103,718 51,859 155,578 77,789 233,368 116,684 58,342 29,171 87,514 43,757 131,272 65,636 32,818 16,409 49,228 24,614 12,307 36,922 18,461 55,384 27,692 13,846 6,923 20,770 10,385 31,156 15,578 7,789 23,368 11,684 5,842 2,921 8,764 4,382 2,191 6,574 3,287 9,862 4,931 14,794 7,397 22,192 11,096 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171

More profiles

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