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Atlas › Integer Profiles › Node 8,528,490

8,528,490

2 × 34 × 5 × 10529
Abundant Even Composite

8,528,490 factors as 2 × 3^4 × 5 × 10529. Its 40 positive divisors give a proper-divisor sum of 14,405,850, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2 × 3^4 × 5 × 10529
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 22,934,340
Proper Divisor Sum 14,405,850
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8528489 ← → #8528519

Radix Representation

Decimal 8528490
Binary 100000100010001001101010 (24 bits)
Octal 0o40421152
Hexadecimal 0x82226A

Divisor Catalog (40)

1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 270 405 810 10,529 21,058 31,587 52,645 63,174 94,761 105,290 157,935 189,522 284,283 315,870 473,805 568,566 852,849 947,610 1,421,415 1,705,698 2,842,830 4,264,245 8,528,490

Collatz Trajectory (98 steps to reach 1)

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

8,528,490 4,264,245 12,792,736 6,396,368 3,198,184 1,599,092 799,546 399,773 1,199,320 599,660 299,830 149,915 449,746 224,873 674,620 337,310 168,655 505,966 252,983 758,950 379,475 1,138,426 569,213 1,707,640 853,820 426,910 213,455 640,366 320,183 960,550 480,275 1,440,826 720,413 2,161,240 1,080,620 540,310 270,155 810,466 405,233 1,215,700 607,850 303,925 911,776 455,888 227,944 113,972 56,986 28,493 85,480 42,740 21,370 10,685 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017

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