λ
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Atlas › Integer Profiles › Node 19,101,176

19,101,176

23 × 37 × 47 × 1373
Deficient Even Composite

19,101,176 factors as 2^3 × 37 × 47 × 1373. Its 32 positive divisors give a proper-divisor sum of 18,491,464, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 2^3 × 37 × 47 × 1373
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 37,592,640
Proper Divisor Sum 18,491,464
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #19101167 ← → #19101209

Radix Representation

Decimal 19101176
Binary 1001000110111010111111000 (25 bits)
Octal 0o110672770
Hexadecimal 0x12375F8

Divisor Catalog (32)

1 2 4 8 37 47 74 94 148 188 296 376 1,373 1,739 2,746 3,478 5,492 6,956 10,984 13,912 50,801 64,531 101,602 129,062 203,204 258,124 406,408 516,248 2,387,647 4,775,294 9,550,588 19,101,176

Collatz Trajectory (151 steps to reach 1)

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

19,101,176 9,550,588 4,775,294 2,387,647 7,162,942 3,581,471 10,744,414 5,372,207 16,116,622 8,058,311 24,174,934 12,087,467 36,262,402 18,131,201 54,393,604 27,196,802 13,598,401 40,795,204 20,397,602 10,198,801 30,596,404 15,298,202 7,649,101 22,947,304 11,473,652 5,736,826 2,868,413 8,605,240 4,302,620 2,151,310 1,075,655 3,226,966 1,613,483 4,840,450 2,420,225 7,260,676 3,630,338 1,815,169 5,445,508 2,722,754 1,361,377 4,084,132 2,042,066 1,021,033 3,063,100 1,531,550 765,775 2,297,326 1,148,663 3,445,990 1,722,995 5,168,986 2,584,493 7,753,480 3,876,740 1,938,370 969,185 2,907,556 1,453,778 726,889

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