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Atlas › Integer Profiles › Node 17,682,016

17,682,016

25 × 11 × 191 × 263
Abundant Even Composite

17,682,016 factors as 2^5 × 11 × 191 × 263. Its 48 positive divisors give a proper-divisor sum of 20,638,112, so this integer is abundant. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^5 × 11 × 191 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 38,320,128
Proper Divisor Sum 20,638,112
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17682013 ← → #17682031

Radix Representation

Decimal 17682016
Binary 1000011011100111001100000 (25 bits)
Octal 0o103347140
Hexadecimal 0x10DCE60

Divisor Catalog (48)

1 2 4 8 11 16 22 32 44 88 176 191 263 352 382 526 764 1,052 1,528 2,101 2,104 2,893 3,056 4,202 4,208 5,786 6,112 8,404 8,416 11,572 16,808 23,144 33,616 46,288 50,233 67,232 92,576 100,466 200,932 401,864 552,563 803,728 1,105,126 1,607,456 2,210,252 4,420,504 8,841,008 17,682,016

Collatz Trajectory (151 steps to reach 1)

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

17,682,016 8,841,008 4,420,504 2,210,252 1,105,126 552,563 1,657,690 828,845 2,486,536 1,243,268 621,634 310,817 932,452 466,226 233,113 699,340 349,670 174,835 524,506 262,253 786,760 393,380 196,690 98,345 295,036 147,518 73,759 221,278 110,639 331,918 165,959 497,878 248,939 746,818 373,409 1,120,228 560,114 280,057 840,172 420,086 210,043 630,130 315,065 945,196 472,598 236,299 708,898 354,449 1,063,348 531,674 265,837 797,512 398,756 199,378 99,689 299,068 149,534 74,767 224,302 112,151

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