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Atlas › Integer Profiles › Node 17,867,168

17,867,168

25 × 11 × 193 × 263
Abundant Even Composite

17,867,168 factors as 2^5 × 11 × 193 × 263. Its 48 positive divisors give a proper-divisor sum of 20,852,128, so this integer is abundant. The Collatz stopping time is 182 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 193 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,719,296
Proper Divisor Sum 20,852,128
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #17867167 ← → #17867173

Radix Representation

Decimal 17867168
Binary 1000100001010000110100000 (25 bits)
Octal 0o104120640
Hexadecimal 0x110A1A0

Divisor Catalog (48)

1 2 4 8 11 16 22 32 44 88 176 193 263 352 386 526 772 1,052 1,544 2,104 2,123 2,893 3,088 4,208 4,246 5,786 6,176 8,416 8,492 11,572 16,984 23,144 33,968 46,288 50,759 67,936 92,576 101,518 203,036 406,072 558,349 812,144 1,116,698 1,624,288 2,233,396 4,466,792 8,933,584 17,867,168

Collatz Trajectory (182 steps to reach 1)

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

17,867,168 8,933,584 4,466,792 2,233,396 1,116,698 558,349 1,675,048 837,524 418,762 209,381 628,144 314,072 157,036 78,518 39,259 117,778 58,889 176,668 88,334 44,167 132,502 66,251 198,754 99,377 298,132 149,066 74,533 223,600 111,800 55,900 27,950 13,975 41,926 20,963 62,890 31,445 94,336 47,168 23,584 11,792 5,896 2,948 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158

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