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Atlas › Integer Profiles › Node 1,079,920

1,079,920

24 × 5 × 13499
Abundant Even Composite

1,079,920 factors as 2^4 × 5 × 13499. Its 20 positive divisors give a proper-divisor sum of 1,431,080, so this integer is abundant. The Collatz stopping time is 196 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 13499
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 2,511,000
Proper Divisor Sum 1,431,080
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #1079917 ← → #1079927

Radix Representation

Decimal 1079920
Binary 100000111101001110000 (21 bits)
Octal 0o4075160
Hexadecimal 0x107A70

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 13,499 26,998 53,996 67,495 107,992 134,990 215,984 269,980 539,960 1,079,920

Collatz Trajectory (196 steps to reach 1)

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

1,079,920 539,960 269,980 134,990 67,495 202,486 101,243 303,730 151,865 455,596 227,798 113,899 341,698 170,849 512,548 256,274 128,137 384,412 192,206 96,103 288,310 144,155 432,466 216,233 648,700 324,350 162,175 486,526 243,263 729,790 364,895 1,094,686 547,343 1,642,030 821,015 2,463,046 1,231,523 3,694,570 1,847,285 5,541,856 2,770,928 1,385,464 692,732 346,366 173,183 519,550 259,775 779,326 389,663 1,168,990 584,495 1,753,486 876,743 2,630,230 1,315,115 3,945,346 1,972,673 5,918,020 2,959,010 1,479,505

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