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Atlas › Integer Profiles › Node 28,186,392

28,186,392

23 × 3 × 13 × 61 × 1481
Abundant Even Composite

28,186,392 factors as 2^3 × 3 × 13 × 61 × 1481. Its 64 positive divisors give a proper-divisor sum of 48,996,168, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 13 × 61 × 1481
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 77,182,560
Proper Divisor Sum 48,996,168
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #28186387 ← → #28186399

Radix Representation

Decimal 28186392
Binary 1101011100001011100011000 (25 bits)
Octal 0o153413430
Hexadecimal 0x1AE1718

Divisor Catalog (60 of 64)

1 2 3 4 6 8 12 13 24 26 39 52 61 78 104 122 156 183 244 312 366 488 732 793 1,464 1,481 1,586 2,379 2,962 3,172 4,443 4,758 5,924 6,344 8,886 9,516 11,848 17,772 19,032 19,253 35,544 38,506 57,759 77,012 90,341 115,518 154,024 180,682 231,036 271,023 361,364 462,072 542,046 722,728 1,084,092 1,174,433 2,168,184 2,348,866 3,523,299 4,697,732

Collatz Trajectory (162 steps to reach 1)

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

28,186,392 14,093,196 7,046,598 3,523,299 10,569,898 5,284,949 15,854,848 7,927,424 3,963,712 1,981,856 990,928 495,464 247,732 123,866 61,933 185,800 92,900 46,450 23,225 69,676 34,838 17,419 52,258 26,129 78,388 39,194 19,597 58,792 29,396 14,698 7,349 22,048 11,024 5,512 2,756 1,378 689 2,068 1,034 517 1,552 776 388 194 97 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142

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