λ
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Atlas › Integer Profiles › Node 19,917,488

19,917,488

24 × 71 × 89 × 197
Deficient Even Composite

19,917,488 factors as 2^4 × 71 × 89 × 197. Its 40 positive divisors give a proper-divisor sum of 19,856,752, so this integer is deficient. The Collatz stopping time is 177 steps.

Prime Factor Structure

Factorization String 2^4 × 71 × 89 × 197
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 39,774,240
Proper Divisor Sum 19,856,752
Digit Sum / Digital Root 47 (Root: 2)
Adjacent Primes #19917481 ← → #19917511

Radix Representation

Decimal 19917488
Binary 1001011111110101010110000 (25 bits)
Octal 0o113765260
Hexadecimal 0x12FEAB0

Divisor Catalog (40)

1 2 4 8 16 71 89 142 178 197 284 356 394 568 712 788 1,136 1,424 1,576 3,152 6,319 12,638 13,987 17,533 25,276 27,974 35,066 50,552 55,948 70,132 101,104 111,896 140,264 223,792 280,528 1,244,843 2,489,686 4,979,372 9,958,744 19,917,488

Collatz Trajectory (177 steps to reach 1)

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

19,917,488 9,958,744 4,979,372 2,489,686 1,244,843 3,734,530 1,867,265 5,601,796 2,800,898 1,400,449 4,201,348 2,100,674 1,050,337 3,151,012 1,575,506 787,753 2,363,260 1,181,630 590,815 1,772,446 886,223 2,658,670 1,329,335 3,988,006 1,994,003 5,982,010 2,991,005 8,973,016 4,486,508 2,243,254 1,121,627 3,364,882 1,682,441 5,047,324 2,523,662 1,261,831 3,785,494 1,892,747 5,678,242 2,839,121 8,517,364 4,258,682 2,129,341 6,388,024 3,194,012 1,597,006 798,503 2,395,510 1,197,755 3,593,266 1,796,633 5,389,900 2,694,950 1,347,475 4,042,426 2,021,213 6,063,640 3,031,820 1,515,910 757,955

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