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Atlas › Integer Profiles › Node 17,529,190

17,529,190

2 × 5 × 7 × 71 × 3527
Abundant Even Composite

17,529,190 factors as 2 × 5 × 7 × 71 × 3527. Its 32 positive divisors give a proper-divisor sum of 19,049,114, so this integer is abundant. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 71 × 3527
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 36,578,304
Proper Divisor Sum 19,049,114
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17529179 ← → #17529203

Radix Representation

Decimal 17529190
Binary 1000010110111100101100110 (25 bits)
Octal 0o102674546
Hexadecimal 0x10B7966

Divisor Catalog (32)

1 2 5 7 10 14 35 70 71 142 355 497 710 994 2,485 3,527 4,970 7,054 17,635 24,689 35,270 49,378 123,445 246,890 250,417 500,834 1,252,085 1,752,919 2,504,170 3,505,838 8,764,595 17,529,190

Collatz Trajectory (200 steps to reach 1)

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

17,529,190 8,764,595 26,293,786 13,146,893 39,440,680 19,720,340 9,860,170 4,930,085 14,790,256 7,395,128 3,697,564 1,848,782 924,391 2,773,174 1,386,587 4,159,762 2,079,881 6,239,644 3,119,822 1,559,911 4,679,734 2,339,867 7,019,602 3,509,801 10,529,404 5,264,702 2,632,351 7,897,054 3,948,527 11,845,582 5,922,791 17,768,374 8,884,187 26,652,562 13,326,281 39,978,844 19,989,422 9,994,711 29,984,134 14,992,067 44,976,202 22,488,101 67,464,304 33,732,152 16,866,076 8,433,038 4,216,519 12,649,558 6,324,779 18,974,338 9,487,169 28,461,508 14,230,754 7,115,377 21,346,132 10,673,066 5,336,533 16,009,600 8,004,800 4,002,400

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