λ
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Atlas › Integer Profiles › Node 8,224,060

8,224,060

22 × 5 × 13 × 47 × 673
Abundant Even Composite

8,224,060 factors as 2^2 × 5 × 13 × 47 × 673. Its 48 positive divisors give a proper-divisor sum of 10,798,916, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 47 × 673
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,022,976
Proper Divisor Sum 10,798,916
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8224057 ← → #8224061

Radix Representation

Decimal 8224060
Binary 11111010111110100111100 (23 bits)
Octal 0o37276474
Hexadecimal 0x7D7D3C

Divisor Catalog (48)

1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 673 940 1,222 1,346 2,444 2,692 3,055 3,365 6,110 6,730 8,749 12,220 13,460 17,498 31,631 34,996 43,745 63,262 87,490 126,524 158,155 174,980 316,310 411,203 632,620 822,406 1,644,812 2,056,015 4,112,030 8,224,060

Collatz Trajectory (230 steps to reach 1)

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

8,224,060 4,112,030 2,056,015 6,168,046 3,084,023 9,252,070 4,626,035 13,878,106 6,939,053 20,817,160 10,408,580 5,204,290 2,602,145 7,806,436 3,903,218 1,951,609 5,854,828 2,927,414 1,463,707 4,391,122 2,195,561 6,586,684 3,293,342 1,646,671 4,940,014 2,470,007 7,410,022 3,705,011 11,115,034 5,557,517 16,672,552 8,336,276 4,168,138 2,084,069 6,252,208 3,126,104 1,563,052 781,526 390,763 1,172,290 586,145 1,758,436 879,218 439,609 1,318,828 659,414 329,707 989,122 494,561 1,483,684 741,842 370,921 1,112,764 556,382 278,191 834,574 417,287 1,251,862 625,931 1,877,794

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