λ
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Atlas › Integer Profiles › Node 5,775,070

5,775,070

2 × 5 × 7 × 17 × 23 × 211
Abundant Even Composite

5,775,070 factors as 2 × 5 × 7 × 17 × 23 × 211. Its 64 positive divisors give a proper-divisor sum of 7,413,026, so this integer is abundant. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 17 × 23 × 211
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 13,188,096
Proper Divisor Sum 7,413,026
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #5775067 ← → #5775101

Radix Representation

Decimal 5775070
Binary 10110000001111011011110 (23 bits)
Octal 0o26017336
Hexadecimal 0x581EDE

Divisor Catalog (60 of 64)

1 2 5 7 10 14 17 23 34 35 46 70 85 115 119 161 170 211 230 238 322 391 422 595 782 805 1,055 1,190 1,477 1,610 1,955 2,110 2,737 2,954 3,587 3,910 4,853 5,474 7,174 7,385 9,706 13,685 14,770 17,935 24,265 25,109 27,370 33,971 35,870 48,530 50,218 67,942 82,501 125,545 165,002 169,855 251,090 339,710 412,505 577,507

Collatz Trajectory (206 steps to reach 1)

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

5,775,070 2,887,535 8,662,606 4,331,303 12,993,910 6,496,955 19,490,866 9,745,433 29,236,300 14,618,150 7,309,075 21,927,226 10,963,613 32,890,840 16,445,420 8,222,710 4,111,355 12,334,066 6,167,033 18,501,100 9,250,550 4,625,275 13,875,826 6,937,913 20,813,740 10,406,870 5,203,435 15,610,306 7,805,153 23,415,460 11,707,730 5,853,865 17,561,596 8,780,798 4,390,399 13,171,198 6,585,599 19,756,798 9,878,399 29,635,198 14,817,599 44,452,798 22,226,399 66,679,198 33,339,599 100,018,798 50,009,399 150,028,198 75,014,099 225,042,298 112,521,149 337,563,448 168,781,724 84,390,862 42,195,431 126,586,294 63,293,147 189,879,442 94,939,721 284,819,164

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