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Atlas › Integer Profiles › Node 17,540,316

17,540,316

22 × 32 × 97 × 5023
Abundant Even Composite

17,540,316 factors as 2^2 × 3^2 × 97 × 5023. Its 36 positive divisors give a proper-divisor sum of 27,263,716, so this integer is abundant. The Collatz stopping time is 319 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 97 × 5023
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 44,804,032
Proper Divisor Sum 27,263,716
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17540293 ← → #17540321

Radix Representation

Decimal 17540316
Binary 1000010111010010011011100 (25 bits)
Octal 0o102722334
Hexadecimal 0x10BA4DC

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1,164 1,746 3,492 5,023 10,046 15,069 20,092 30,138 45,207 60,276 90,414 180,828 487,231 974,462 1,461,693 1,948,924 2,923,386 4,385,079 5,846,772 8,770,158 17,540,316

Collatz Trajectory (319 steps to reach 1)

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

17,540,316 8,770,158 4,385,079 13,155,238 6,577,619 19,732,858 9,866,429 29,599,288 14,799,644 7,399,822 3,699,911 11,099,734 5,549,867 16,649,602 8,324,801 24,974,404 12,487,202 6,243,601 18,730,804 9,365,402 4,682,701 14,048,104 7,024,052 3,512,026 1,756,013 5,268,040 2,634,020 1,317,010 658,505 1,975,516 987,758 493,879 1,481,638 740,819 2,222,458 1,111,229 3,333,688 1,666,844 833,422 416,711 1,250,134 625,067 1,875,202 937,601 2,812,804 1,406,402 703,201 2,109,604 1,054,802 527,401 1,582,204 791,102 395,551 1,186,654 593,327 1,779,982 889,991 2,669,974 1,334,987 4,004,962

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