λ
Ratio Atlas

7,191,091

173 × 197 × 211
Deficient Odd Composite

7,191,091 factors as 173 × 197 × 211. Its 8 positive divisors give a proper-divisor sum of 112,733, so this integer is deficient. The Collatz stopping time is 142 steps.

Prime Factor Structure

Factorization String 173 × 197 × 211
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,303,824
Proper Divisor Sum 112,733
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #7191077 ← → #7191127

Radix Representation

Decimal 7191091
Binary 11011011011101000110011 (23 bits)
Octal 0o33335063
Hexadecimal 0x6DBA33

Divisor Catalog (8)

1 173 197 211 34,081 36,503 41,567 7,191,091

Collatz Trajectory (142 steps to reach 1)

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

7,191,091 21,573,274 10,786,637 32,359,912 16,179,956 8,089,978 4,044,989 12,134,968 6,067,484 3,033,742 1,516,871 4,550,614 2,275,307 6,825,922 3,412,961 10,238,884 5,119,442 2,559,721 7,679,164 3,839,582 1,919,791 5,759,374 2,879,687 8,639,062 4,319,531 12,958,594 6,479,297 19,437,892 9,718,946 4,859,473 14,578,420 7,289,210 3,644,605 10,933,816 5,466,908 2,733,454 1,366,727 4,100,182 2,050,091 6,150,274 3,075,137 9,225,412 4,612,706 2,306,353 6,919,060 3,459,530 1,729,765 5,189,296 2,594,648 1,297,324 648,662 324,331 972,994 486,497 1,459,492 729,746 364,873 1,094,620 547,310 273,655

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