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Atlas › Integer Profiles › Node 17,530,272

17,530,272

25 × 32 × 60869
Abundant Even Composite

17,530,272 factors as 2^5 × 3^2 × 60869. Its 36 positive divisors give a proper-divisor sum of 32,322,258, so this integer is abundant. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 2^5 × 3^2 × 60869
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 49,852,530
Proper Divisor Sum 32,322,258
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17530259 ← → #17530273

Radix Representation

Decimal 17530272
Binary 1000010110111110110100000 (25 bits)
Octal 0o102676640
Hexadecimal 0x10B7DA0

Divisor Catalog (36)

1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 60,869 121,738 182,607 243,476 365,214 486,952 547,821 730,428 973,904 1,095,642 1,460,856 1,947,808 2,191,284 2,921,712 4,382,568 5,843,424 8,765,136 17,530,272

Collatz Trajectory (120 steps to reach 1)

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

17,530,272 8,765,136 4,382,568 2,191,284 1,095,642 547,821 1,643,464 821,732 410,866 205,433 616,300 308,150 154,075 462,226 231,113 693,340 346,670 173,335 520,006 260,003 780,010 390,005 1,170,016 585,008 292,504 146,252 73,126 36,563 109,690 54,845 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091

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