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Ratio Atlas
Atlas › Integer Profiles › Node 8,380,280

8,380,280

23 × 5 × 23 × 9109
Abundant Even Composite

8,380,280 factors as 2^3 × 5 × 23 × 9109. Its 32 positive divisors give a proper-divisor sum of 11,297,320, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 23 × 9109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,677,600
Proper Divisor Sum 11,297,320
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8380279 ← → #8380283

Radix Representation

Decimal 8380280
Binary 11111111101111101111000 (23 bits)
Octal 0o37757570
Hexadecimal 0x7FDF78

Divisor Catalog (32)

1 2 4 5 8 10 20 23 40 46 92 115 184 230 460 920 9,109 18,218 36,436 45,545 72,872 91,090 182,180 209,507 364,360 419,014 838,028 1,047,535 1,676,056 2,095,070 4,190,140 8,380,280

Collatz Trajectory (181 steps to reach 1)

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

8,380,280 4,190,140 2,095,070 1,047,535 3,142,606 1,571,303 4,713,910 2,356,955 7,070,866 3,535,433 10,606,300 5,303,150 2,651,575 7,954,726 3,977,363 11,932,090 5,966,045 17,898,136 8,949,068 4,474,534 2,237,267 6,711,802 3,355,901 10,067,704 5,033,852 2,516,926 1,258,463 3,775,390 1,887,695 5,663,086 2,831,543 8,494,630 4,247,315 12,741,946 6,370,973 19,112,920 9,556,460 4,778,230 2,389,115 7,167,346 3,583,673 10,751,020 5,375,510 2,687,755 8,063,266 4,031,633 12,094,900 6,047,450 3,023,725 9,071,176 4,535,588 2,267,794 1,133,897 3,401,692 1,700,846 850,423 2,551,270 1,275,635 3,826,906 1,913,453

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