λ
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Atlas › Integer Profiles › Node 28,056,256

28,056,256

26 × 17 × 107 × 241
Abundant Even Composite

28,056,256 factors as 2^6 × 17 × 107 × 241. Its 56 positive divisors give a proper-divisor sum of 31,690,640, so this integer is abundant. The Collatz stopping time is 154 steps.

Prime Factor Structure

Factorization String 2^6 × 17 × 107 × 241
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 59,746,896
Proper Divisor Sum 31,690,640
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #28056221 ← → #28056257

Radix Representation

Decimal 28056256
Binary 1101011000001101011000000 (25 bits)
Octal 0o153015300
Hexadecimal 0x1AC1AC0

Divisor Catalog (56)

1 2 4 8 16 17 32 34 64 68 107 136 214 241 272 428 482 544 856 964 1,088 1,712 1,819 1,928 3,424 3,638 3,856 4,097 6,848 7,276 7,712 8,194 14,552 15,424 16,388 25,787 29,104 32,776 51,574 58,208 65,552 103,148 116,416 131,104 206,296 262,208 412,592 438,379 825,184 876,758 1,650,368 1,753,516 3,507,032 7,014,064 14,028,128 28,056,256

Collatz Trajectory (154 steps to reach 1)

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

28,056,256 14,028,128 7,014,064 3,507,032 1,753,516 876,758 438,379 1,315,138 657,569 1,972,708 986,354 493,177 1,479,532 739,766 369,883 1,109,650 554,825 1,664,476 832,238 416,119 1,248,358 624,179 1,872,538 936,269 2,808,808 1,404,404 702,202 351,101 1,053,304 526,652 263,326 131,663 394,990 197,495 592,486 296,243 888,730 444,365 1,333,096 666,548 333,274 166,637 499,912 249,956 124,978 62,489 187,468 93,734 46,867 140,602 70,301 210,904 105,452 52,726 26,363 79,090 39,545 118,636 59,318 29,659

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