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Atlas › Integer Profiles › Node 5,595,044

5,595,044

22 × 7 × 13 × 19 × 809
Abundant Even Composite

5,595,044 factors as 2^2 × 7 × 13 × 19 × 809. Its 48 positive divisors give a proper-divisor sum of 7,105,756, so this integer is abundant. The Collatz stopping time is 170 steps.

Prime Factor Structure

Factorization String 2^2 × 7 × 13 × 19 × 809
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 12,700,800
Proper Divisor Sum 7,105,756
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #5595043 ← → #5595047

Radix Representation

Decimal 5595044
Binary 10101010101111110100100 (23 bits)
Octal 0o25257644
Hexadecimal 0x555FA4

Divisor Catalog (48)

1 2 4 7 13 14 19 26 28 38 52 76 91 133 182 247 266 364 494 532 809 988 1,618 1,729 3,236 3,458 5,663 6,916 10,517 11,326 15,371 21,034 22,652 30,742 42,068 61,484 73,619 107,597 147,238 199,823 215,194 294,476 399,646 430,388 799,292 1,398,761 2,797,522 5,595,044

Collatz Trajectory (170 steps to reach 1)

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

5,595,044 2,797,522 1,398,761 4,196,284 2,098,142 1,049,071 3,147,214 1,573,607 4,720,822 2,360,411 7,081,234 3,540,617 10,621,852 5,310,926 2,655,463 7,966,390 3,983,195 11,949,586 5,974,793 17,924,380 8,962,190 4,481,095 13,443,286 6,721,643 20,164,930 10,082,465 30,247,396 15,123,698 7,561,849 22,685,548 11,342,774 5,671,387 17,014,162 8,507,081 25,521,244 12,760,622 6,380,311 19,140,934 9,570,467 28,711,402 14,355,701 43,067,104 21,533,552 10,766,776 5,383,388 2,691,694 1,345,847 4,037,542 2,018,771 6,056,314 3,028,157 9,084,472 4,542,236 2,271,118 1,135,559 3,406,678 1,703,339 5,110,018 2,555,009 7,665,028

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