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Atlas › Integer Profiles › Node 16,640,752

16,640,752

24 × 41 × 25367
Deficient Even Composite

16,640,752 factors as 2^4 × 41 × 25367. Its 20 positive divisors give a proper-divisor sum of 16,388,384, so this integer is deficient. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^4 × 41 × 25367
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 33,029,136
Proper Divisor Sum 16,388,384
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #16640731 ← → #16640759

Radix Representation

Decimal 16640752
Binary 111111011110101011110000 (24 bits)
Octal 0o77365360
Hexadecimal 0xFDEAF0

Divisor Catalog (20)

1 2 4 8 16 41 82 164 328 656 25,367 50,734 101,468 202,936 405,872 1,040,047 2,080,094 4,160,188 8,320,376 16,640,752

Collatz Trajectory (187 steps to reach 1)

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

16,640,752 8,320,376 4,160,188 2,080,094 1,040,047 3,120,142 1,560,071 4,680,214 2,340,107 7,020,322 3,510,161 10,530,484 5,265,242 2,632,621 7,897,864 3,948,932 1,974,466 987,233 2,961,700 1,480,850 740,425 2,221,276 1,110,638 555,319 1,665,958 832,979 2,498,938 1,249,469 3,748,408 1,874,204 937,102 468,551 1,405,654 702,827 2,108,482 1,054,241 3,162,724 1,581,362 790,681 2,372,044 1,186,022 593,011 1,779,034 889,517 2,668,552 1,334,276 667,138 333,569 1,000,708 500,354 250,177 750,532 375,266 187,633 562,900 281,450 140,725 422,176 211,088 105,544

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