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Atlas › Integer Profiles › Node 17,529,520

17,529,520

24 × 5 × 219119
Abundant Even Composite

17,529,520 factors as 2^4 × 5 × 219119. Its 20 positive divisors give a proper-divisor sum of 23,226,800, so this integer is abundant. The Collatz stopping time is 169 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 219119
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 40,756,320
Proper Divisor Sum 23,226,800
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #17529511 ← → #17529541

Radix Representation

Decimal 17529520
Binary 1000010110111101010110000 (25 bits)
Octal 0o102675260
Hexadecimal 0x10B7AB0

Divisor Catalog (20)

1 2 4 5 8 10 16 20 40 80 219,119 438,238 876,476 1,095,595 1,752,952 2,191,190 3,505,904 4,382,380 8,764,760 17,529,520

Collatz Trajectory (169 steps to reach 1)

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

17,529,520 8,764,760 4,382,380 2,191,190 1,095,595 3,286,786 1,643,393 4,930,180 2,465,090 1,232,545 3,697,636 1,848,818 924,409 2,773,228 1,386,614 693,307 2,079,922 1,039,961 3,119,884 1,559,942 779,971 2,339,914 1,169,957 3,509,872 1,754,936 877,468 438,734 219,367 658,102 329,051 987,154 493,577 1,480,732 740,366 370,183 1,110,550 555,275 1,665,826 832,913 2,498,740 1,249,370 624,685 1,874,056 937,028 468,514 234,257 702,772 351,386 175,693 527,080 263,540 131,770 65,885 197,656 98,828 49,414 24,707 74,122 37,061 111,184

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