λ
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17,546,320

24 × 5 × 11 × 127 × 157
Abundant Even Composite

17,546,320 factors as 2^4 × 5 × 11 × 127 × 157. Its 80 positive divisors give a proper-divisor sum of 27,593,648, so this integer is abundant. The Collatz stopping time is 138 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 11 × 127 × 157
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 80
Divisor Sum (σ) 45,139,968
Proper Divisor Sum 27,593,648
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #17546317 ← → #17546323

Radix Representation

Decimal 17546320
Binary 1000010111011110001010000 (25 bits)
Octal 0o102736120
Hexadecimal 0x10BBC50

Divisor Catalog (60 of 80)

1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 127 157 176 220 254 314 440 508 628 635 785 880 1,016 1,256 1,270 1,397 1,570 1,727 2,032 2,512 2,540 2,794 3,140 3,454 5,080 5,588 6,280 6,908 6,985 8,635 10,160 11,176 12,560 13,816 13,970 17,270 19,939 22,352 27,632 27,940 34,540 39,878 55,880 69,080

Collatz Trajectory (138 steps to reach 1)

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

17,546,320 8,773,160 4,386,580 2,193,290 1,096,645 3,289,936 1,644,968 822,484 411,242 205,621 616,864 308,432 154,216 77,108 38,554 19,277 57,832 28,916 14,458 7,229 21,688 10,844 5,422 2,711 8,134 4,067 12,202 6,101 18,304 9,152 4,576 2,288 1,144 572 286 143 430 215 646 323 970 485 1,456 728 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526

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