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Atlas › Integer Profiles › Node 28,006,342

28,006,342

2 × 72 × 132 × 19 × 89
Abundant Even Composite

28,006,342 factors as 2 × 7^2 × 13^2 × 19 × 89. Its 72 positive divisors give a proper-divisor sum of 28,321,058, so this integer is abundant. The Collatz stopping time is 193 steps.

Prime Factor Structure

Factorization String 2 × 7^2 × 13^2 × 19 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 56,327,400
Proper Divisor Sum 28,321,058
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #28006339 ← → #28006343

Radix Representation

Decimal 28006342
Binary 1101010110101011111000110 (25 bits)
Octal 0o152653706
Hexadecimal 0x1AB57C6

Divisor Catalog (60 of 72)

1 2 7 13 14 19 26 38 49 89 91 98 133 169 178 182 247 266 338 494 623 637 931 1,157 1,183 1,246 1,274 1,691 1,729 1,862 2,314 2,366 3,211 3,382 3,458 4,361 6,422 8,099 8,281 8,722 11,837 12,103 15,041 16,198 16,562 21,983 22,477 23,674 24,206 30,082 43,966 44,954 56,693 82,859 105,287 113,386 153,881 157,339 165,718 210,574

Collatz Trajectory (193 steps to reach 1)

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

28,006,342 14,003,171 42,009,514 21,004,757 63,014,272 31,507,136 15,753,568 7,876,784 3,938,392 1,969,196 984,598 492,299 1,476,898 738,449 2,215,348 1,107,674 553,837 1,661,512 830,756 415,378 207,689 623,068 311,534 155,767 467,302 233,651 700,954 350,477 1,051,432 525,716 262,858 131,429 394,288 197,144 98,572 49,286 24,643 73,930 36,965 110,896 55,448 27,724 13,862 6,931 20,794 10,397 31,192 15,596 7,798 3,899 11,698 5,849 17,548 8,774 4,387 13,162 6,581 19,744 9,872 4,936

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