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Atlas › Integer Profiles › Node 8,723,488

8,723,488

25 × 41 × 61 × 109
Abundant Even Composite

8,723,488 factors as 2^5 × 41 × 61 × 109. Its 48 positive divisors give a proper-divisor sum of 9,322,232, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2^5 × 41 × 61 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 18,045,720
Proper Divisor Sum 9,322,232
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #8723483 ← → #8723497

Radix Representation

Decimal 8723488
Binary 100001010001110000100000 (24 bits)
Octal 0o41216040
Hexadecimal 0x851C20

Divisor Catalog (48)

1 2 4 8 16 32 41 61 82 109 122 164 218 244 328 436 488 656 872 976 1,312 1,744 1,952 2,501 3,488 4,469 5,002 6,649 8,938 10,004 13,298 17,876 20,008 26,596 35,752 40,016 53,192 71,504 80,032 106,384 143,008 212,768 272,609 545,218 1,090,436 2,180,872 4,361,744 8,723,488

Collatz Trajectory (274 steps to reach 1)

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

8,723,488 4,361,744 2,180,872 1,090,436 545,218 272,609 817,828 408,914 204,457 613,372 306,686 153,343 460,030 230,015 690,046 345,023 1,035,070 517,535 1,552,606 776,303 2,328,910 1,164,455 3,493,366 1,746,683 5,240,050 2,620,025 7,860,076 3,930,038 1,965,019 5,895,058 2,947,529 8,842,588 4,421,294 2,210,647 6,631,942 3,315,971 9,947,914 4,973,957 14,921,872 7,460,936 3,730,468 1,865,234 932,617 2,797,852 1,398,926 699,463 2,098,390 1,049,195 3,147,586 1,573,793 4,721,380 2,360,690 1,180,345 3,541,036 1,770,518 885,259 2,655,778 1,327,889 3,983,668 1,991,834

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