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Atlas › Integer Profiles › Node 17,525,750

17,525,750

2 × 53 × 11 × 6373
Abundant Even Composite

17,525,750 factors as 2 × 5^3 × 11 × 6373. Its 32 positive divisors give a proper-divisor sum of 18,270,634, so this integer is abundant. The Collatz stopping time is 213 steps.

Prime Factor Structure

Factorization String 2 × 5^3 × 11 × 6373
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 35,796,384
Proper Divisor Sum 18,270,634
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #17525749 ← → #17525777

Radix Representation

Decimal 17525750
Binary 1000010110110101111110110 (25 bits)
Octal 0o102665766
Hexadecimal 0x10B6BF6

Divisor Catalog (32)

1 2 5 10 11 22 25 50 55 110 125 250 275 550 1,375 2,750 6,373 12,746 31,865 63,730 70,103 140,206 159,325 318,650 350,515 701,030 796,625 1,593,250 1,752,575 3,505,150 8,762,875 17,525,750

Collatz Trajectory (213 steps to reach 1)

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

17,525,750 8,762,875 26,288,626 13,144,313 39,432,940 19,716,470 9,858,235 29,574,706 14,787,353 44,362,060 22,181,030 11,090,515 33,271,546 16,635,773 49,907,320 24,953,660 12,476,830 6,238,415 18,715,246 9,357,623 28,072,870 14,036,435 42,109,306 21,054,653 63,163,960 31,581,980 15,790,990 7,895,495 23,686,486 11,843,243 35,529,730 17,764,865 53,294,596 26,647,298 13,323,649 39,970,948 19,985,474 9,992,737 29,978,212 14,989,106 7,494,553 22,483,660 11,241,830 5,620,915 16,862,746 8,431,373 25,294,120 12,647,060 6,323,530 3,161,765 9,485,296 4,742,648 2,371,324 1,185,662 592,831 1,778,494 889,247 2,667,742 1,333,871 4,001,614

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