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Atlas › Integer Profiles › Node 17,525,800

17,525,800

23 × 52 × 87629
Abundant Even Composite

17,525,800 factors as 2^3 × 5^2 × 87629. Its 24 positive divisors give a proper-divisor sum of 23,222,150, so this integer is abundant. The Collatz stopping time is 381 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 87629
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 40,747,950
Proper Divisor Sum 23,222,150
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17525797 ← → #17525801

Radix Representation

Decimal 17525800
Binary 1000010110110110000101000 (25 bits)
Octal 0o102666050
Hexadecimal 0x10B6C28

Divisor Catalog (24)

1 2 4 5 8 10 20 25 40 50 100 200 87,629 175,258 350,516 438,145 701,032 876,290 1,752,580 2,190,725 3,505,160 4,381,450 8,762,900 17,525,800

Collatz Trajectory (381 steps to reach 1)

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

17,525,800 8,762,900 4,381,450 2,190,725 6,572,176 3,286,088 1,643,044 821,522 410,761 1,232,284 616,142 308,071 924,214 462,107 1,386,322 693,161 2,079,484 1,039,742 519,871 1,559,614 779,807 2,339,422 1,169,711 3,509,134 1,754,567 5,263,702 2,631,851 7,895,554 3,947,777 11,843,332 5,921,666 2,960,833 8,882,500 4,441,250 2,220,625 6,661,876 3,330,938 1,665,469 4,996,408 2,498,204 1,249,102 624,551 1,873,654 936,827 2,810,482 1,405,241 4,215,724 2,107,862 1,053,931 3,161,794 1,580,897 4,742,692 2,371,346 1,185,673 3,557,020 1,778,510 889,255 2,667,766 1,333,883 4,001,650

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