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Atlas › Integer Profiles › Node 17,427,872

17,427,872

25 × 7 × 112 × 643
Abundant Even Composite

Prime Factor Structure

Factorization String 2^5 × 7 × 11^2 × 643
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 43,168,608
Proper Divisor Sum 25,740,736
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #17427863 ← → #17427881

Radix Representation

Decimal 17427872
Binary 1000010011110110110100000 (25 bits)
Octal 0o102366640
Hexadecimal 0x109EDA0

Divisor Catalog (60 of 72)

1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 121 154 176 224 242 308 352 484 616 643 847 968 1,232 1,286 1,694 1,936 2,464 2,572 3,388 3,872 4,501 5,144 6,776 7,073 9,002 10,288 13,552 14,146 18,004 20,576 27,104 28,292 36,008 49,511 56,584 72,016 77,803 99,022 113,168 144,032 155,606 198,044 226,336 311,212

Collatz Trajectory (125 steps to reach 1)

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

17,427,872 8,713,936 4,356,968 2,178,484 1,089,242 544,621 1,633,864 816,932 408,466 204,233 612,700 306,350 153,175 459,526 229,763 689,290 344,645 1,033,936 516,968 258,484 129,242 64,621 193,864 96,932 48,466 24,233 72,700 36,350 18,175 54,526 27,263 81,790 40,895 122,686 61,343 184,030 92,015 276,046 138,023 414,070 207,035 621,106 310,553 931,660 465,830 232,915 698,746 349,373 1,048,120 524,060 262,030 131,015 393,046 196,523 589,570 294,785 884,356 442,178 221,089 663,268

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