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Atlas › Integer Profiles › Node 5,581,600

5,581,600

25 × 52 × 6977
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 5^2 × 6977
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 13,628,034
Proper Divisor Sum 8,046,434
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #5581591 ← → #5581603

Radix Representation

Decimal 5581600
Binary 10101010010101100100000 (23 bits)
Octal 0o25225440
Hexadecimal 0x552B20

Divisor Catalog (36)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 6,977 13,954 27,908 34,885 55,816 69,770 111,632 139,540 174,425 223,264 279,080 348,850 558,160 697,700 1,116,320 1,395,400 2,790,800 5,581,600

Collatz Trajectory (170 steps to reach 1)

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

5,581,600 2,790,800 1,395,400 697,700 348,850 174,425 523,276 261,638 130,819 392,458 196,229 588,688 294,344 147,172 73,586 36,793 110,380 55,190 27,595 82,786 41,393 124,180 62,090 31,045 93,136 46,568 23,284 11,642 5,821 17,464 8,732 4,366 2,183 6,550 3,275 9,826 4,913 14,740 7,370 3,685 11,056 5,528 2,764 1,382 691 2,074 1,037 3,112 1,556 778 389 1,168 584 292 146 73 220 110 55 166

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