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Atlas › Integer Profiles › Node 1,112,540

1,112,540

22 × 5 × 11 × 13 × 389
Abundant Even Composite

1,112,540 factors as 2^2 × 5 × 11 × 13 × 389. Its 48 positive divisors give a proper-divisor sum of 1,639,300, so this integer is abundant. The Collatz stopping time is 59 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 11 × 13 × 389
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 2,751,840
Proper Divisor Sum 1,639,300
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #1112519 ← → #1112543

Radix Representation

Decimal 1112540
Binary 100001111100111011100 (21 bits)
Octal 0o4174734
Hexadecimal 0x10F9DC

Divisor Catalog (48)

1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 389 572 715 778 1,430 1,556 1,945 2,860 3,890 4,279 5,057 7,780 8,558 10,114 17,116 20,228 21,395 25,285 42,790 50,570 55,627 85,580 101,140 111,254 222,508 278,135 556,270 1,112,540

Collatz Trajectory (59 steps to reach 1)

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

1,112,540 556,270 278,135 834,406 417,203 1,251,610 625,805 1,877,416 938,708 469,354 234,677 704,032 352,016 176,008 88,004 44,002 22,001 66,004 33,002 16,501 49,504 24,752 12,376 6,188 3,094 1,547 4,642 2,321 6,964 3,482 1,741 5,224 2,612 1,306 653 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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