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Atlas › Integer Profiles › Node 5,773,130

5,773,130

2 × 5 × 11 × 31 × 1693
Abundant Even Composite

5,773,130 factors as 2 × 5 × 11 × 31 × 1693. Its 32 positive divisors give a proper-divisor sum of 5,935,798, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2 × 5 × 11 × 31 × 1693
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,708,928
Proper Divisor Sum 5,935,798
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #5773129 ← → #5773133

Radix Representation

Decimal 5773130
Binary 10110000001011101001010 (23 bits)
Octal 0o26013512
Hexadecimal 0x58174A

Divisor Catalog (32)

1 2 5 10 11 22 31 55 62 110 155 310 341 682 1,693 1,705 3,386 3,410 8,465 16,930 18,623 37,246 52,483 93,115 104,966 186,230 262,415 524,830 577,313 1,154,626 2,886,565 5,773,130

Collatz Trajectory (232 steps to reach 1)

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

5,773,130 2,886,565 8,659,696 4,329,848 2,164,924 1,082,462 541,231 1,623,694 811,847 2,435,542 1,217,771 3,653,314 1,826,657 5,479,972 2,739,986 1,369,993 4,109,980 2,054,990 1,027,495 3,082,486 1,541,243 4,623,730 2,311,865 6,935,596 3,467,798 1,733,899 5,201,698 2,600,849 7,802,548 3,901,274 1,950,637 5,851,912 2,925,956 1,462,978 731,489 2,194,468 1,097,234 548,617 1,645,852 822,926 411,463 1,234,390 617,195 1,851,586 925,793 2,777,380 1,388,690 694,345 2,083,036 1,041,518 520,759 1,562,278 781,139 2,343,418 1,171,709 3,515,128 1,757,564 878,782 439,391 1,318,174

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