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Atlas › Integer Profiles › Node 5,775,055

5,775,055

5 × 11 × 13 × 41 × 197
Deficient Odd Composite

Prime Factor Structure

Factorization String 5 × 11 × 13 × 41 × 197
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,382,528
Proper Divisor Sum 2,607,473
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5775043 ← → #5775059

Radix Representation

Decimal 5775055
Binary 10110000001111011001111 (23 bits)
Octal 0o26017317
Hexadecimal 0x581ECF

Divisor Catalog (32)

1 5 11 13 41 55 65 143 197 205 451 533 715 985 2,167 2,255 2,561 2,665 5,863 8,077 10,835 12,805 28,171 29,315 40,385 88,847 105,001 140,855 444,235 525,005 1,155,011 5,775,055

Collatz Trajectory (206 steps to reach 1)

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

5,775,055 17,325,166 8,662,583 25,987,750 12,993,875 38,981,626 19,490,813 58,472,440 29,236,220 14,618,110 7,309,055 21,927,166 10,963,583 32,890,750 16,445,375 49,336,126 24,668,063 74,004,190 37,002,095 111,006,286 55,503,143 166,509,430 83,254,715 249,764,146 124,882,073 374,646,220 187,323,110 93,661,555 280,984,666 140,492,333 421,477,000 210,738,500 105,369,250 52,684,625 158,053,876 79,026,938 39,513,469 118,540,408 59,270,204 29,635,102 14,817,551 44,452,654 22,226,327 66,678,982 33,339,491 100,018,474 50,009,237 150,027,712 75,013,856 37,506,928 18,753,464 9,376,732 4,688,366 2,344,183 7,032,550 3,516,275 10,548,826 5,274,413 15,823,240 7,911,620

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