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Atlas › Integer Profiles › Node 8,557,410

8,557,410

2 × 3 × 5 × 19 × 15013
Abundant Even Composite

8,557,410 factors as 2 × 3 × 5 × 19 × 15013. Its 32 positive divisors give a proper-divisor sum of 13,062,750, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5 × 19 × 15013
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 21,620,160
Proper Divisor Sum 13,062,750
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #8557399 ← → #8557411

Radix Representation

Decimal 8557410
Binary 100000101001001101100010 (24 bits)
Octal 0o40511542
Hexadecimal 0x829362

Divisor Catalog (32)

1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 15,013 30,026 45,039 75,065 90,078 150,130 225,195 285,247 450,390 570,494 855,741 1,426,235 1,711,482 2,852,470 4,278,705 8,557,410

Collatz Trajectory (168 steps to reach 1)

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

8,557,410 4,278,705 12,836,116 6,418,058 3,209,029 9,627,088 4,813,544 2,406,772 1,203,386 601,693 1,805,080 902,540 451,270 225,635 676,906 338,453 1,015,360 507,680 253,840 126,920 63,460 31,730 15,865 47,596 23,798 11,899 35,698 17,849 53,548 26,774 13,387 40,162 20,081 60,244 30,122 15,061 45,184 22,592 11,296 5,648 2,824 1,412 706 353 1,060 530 265 796 398 199 598 299 898 449 1,348 674 337 1,012 506 253

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