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Atlas › Integer Profiles › Node 28,614,976

28,614,976

26 × 13 × 163 × 211
Abundant Even Composite

28,614,976 factors as 2^6 × 13 × 163 × 211. Its 56 positive divisors give a proper-divisor sum of 33,202,528, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^6 × 13 × 163 × 211
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 61,817,504
Proper Divisor Sum 33,202,528
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #28614973 ← → #28614983

Radix Representation

Decimal 28614976
Binary 1101101001010000101000000 (25 bits)
Octal 0o155120500
Hexadecimal 0x1B4A140

Divisor Catalog (56)

1 2 4 8 13 16 26 32 52 64 104 163 208 211 326 416 422 652 832 844 1,304 1,688 2,119 2,608 2,743 3,376 4,238 5,216 5,486 6,752 8,476 10,432 10,972 13,504 16,952 21,944 33,904 34,393 43,888 67,808 68,786 87,776 135,616 137,572 175,552 275,144 447,109 550,288 894,218 1,100,576 1,788,436 2,201,152 3,576,872 7,153,744 14,307,488 28,614,976

Collatz Trajectory (162 steps to reach 1)

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

28,614,976 14,307,488 7,153,744 3,576,872 1,788,436 894,218 447,109 1,341,328 670,664 335,332 167,666 83,833 251,500 125,750 62,875 188,626 94,313 282,940 141,470 70,735 212,206 106,103 318,310 159,155 477,466 238,733 716,200 358,100 179,050 89,525 268,576 134,288 67,144 33,572 16,786 8,393 25,180 12,590 6,295 18,886 9,443 28,330 14,165 42,496 21,248 10,624 5,312 2,656 1,328 664 332 166 83 250 125 376 188 94 47 142

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