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Atlas › Integer Profiles › Node 8,942,780

8,942,780

22 × 5 × 7 × 11 × 5807
Abundant Even Composite

8,942,780 factors as 2^2 × 5 × 7 × 11 × 5807. Its 48 positive divisors give a proper-divisor sum of 14,475,076, so this integer is abundant. The Collatz stopping time is 349 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 11 × 5807
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,417,856
Proper Divisor Sum 14,475,076
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #8942779 ← → #8942803

Radix Representation

Decimal 8942780
Binary 100010000111010010111100 (24 bits)
Octal 0o42072274
Hexadecimal 0x8874BC

Divisor Catalog (48)

1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1,540 5,807 11,614 23,228 29,035 40,649 58,070 63,877 81,298 116,140 127,754 162,596 203,245 255,508 319,385 406,490 447,139 638,770 812,980 894,278 1,277,540 1,788,556 2,235,695 4,471,390 8,942,780

Collatz Trajectory (349 steps to reach 1)

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

8,942,780 4,471,390 2,235,695 6,707,086 3,353,543 10,060,630 5,030,315 15,090,946 7,545,473 22,636,420 11,318,210 5,659,105 16,977,316 8,488,658 4,244,329 12,732,988 6,366,494 3,183,247 9,549,742 4,774,871 14,324,614 7,162,307 21,486,922 10,743,461 32,230,384 16,115,192 8,057,596 4,028,798 2,014,399 6,043,198 3,021,599 9,064,798 4,532,399 13,597,198 6,798,599 20,395,798 10,197,899 30,593,698 15,296,849 45,890,548 22,945,274 11,472,637 34,417,912 17,208,956 8,604,478 4,302,239 12,906,718 6,453,359 19,360,078 9,680,039 29,040,118 14,520,059 43,560,178 21,780,089 65,340,268 32,670,134 16,335,067 49,005,202 24,502,601 73,507,804

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