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Atlas › Integer Profiles › Node 17,544,420

17,544,420

22 × 32 × 5 × 29 × 3361
Abundant Even Composite

17,544,420 factors as 2^2 × 3^2 × 5 × 29 × 3361. Its 72 positive divisors give a proper-divisor sum of 37,525,140, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 5 × 29 × 3361
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 72
Divisor Sum (σ) 55,069,560
Proper Divisor Sum 37,525,140
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17544413 ← → #17544421

Radix Representation

Decimal 17544420
Binary 1000010111011010011100100 (25 bits)
Octal 0o102732344
Hexadecimal 0x10BB4E4

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1,044 1,305 1,740 2,610 3,361 5,220 6,722 10,083 13,444 16,805 20,166 30,249 33,610 40,332 50,415 60,498 67,220 97,469 100,830 120,996 151,245 194,938 201,660 292,407 302,490 389,876 487,345 584,814 604,980

Collatz Trajectory (200 steps to reach 1)

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

17,544,420 8,772,210 4,386,105 13,158,316 6,579,158 3,289,579 9,868,738 4,934,369 14,803,108 7,401,554 3,700,777 11,102,332 5,551,166 2,775,583 8,326,750 4,163,375 12,490,126 6,245,063 18,735,190 9,367,595 28,102,786 14,051,393 42,154,180 21,077,090 10,538,545 31,615,636 15,807,818 7,903,909 23,711,728 11,855,864 5,927,932 2,963,966 1,481,983 4,445,950 2,222,975 6,668,926 3,334,463 10,003,390 5,001,695 15,005,086 7,502,543 22,507,630 11,253,815 33,761,446 16,880,723 50,642,170 25,321,085 75,963,256 37,981,628 18,990,814 9,495,407 28,486,222 14,243,111 42,729,334 21,364,667 64,094,002 32,047,001 96,141,004 48,070,502 24,035,251

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