λ
Ratio Atlas

8,372,107

71 × 117917
Deficient Odd Composite

8,372,107 factors as 71 × 117917. Its 4 positive divisors give a proper-divisor sum of 117,989, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 71 × 117917
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 8,490,096
Proper Divisor Sum 117,989
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #8372083 ← → #8372137

Radix Representation

Decimal 8372107
Binary 11111111011111110001011 (23 bits)
Octal 0o37737613
Hexadecimal 0x7FBF8B

Divisor Catalog (4)

1 71 117,917 8,372,107

Collatz Trajectory (199 steps to reach 1)

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

8,372,107 25,116,322 12,558,161 37,674,484 18,837,242 9,418,621 28,255,864 14,127,932 7,063,966 3,531,983 10,595,950 5,297,975 15,893,926 7,946,963 23,840,890 11,920,445 35,761,336 17,880,668 8,940,334 4,470,167 13,410,502 6,705,251 20,115,754 10,057,877 30,173,632 15,086,816 7,543,408 3,771,704 1,885,852 942,926 471,463 1,414,390 707,195 2,121,586 1,060,793 3,182,380 1,591,190 795,595 2,386,786 1,193,393 3,580,180 1,790,090 895,045 2,685,136 1,342,568 671,284 335,642 167,821 503,464 251,732 125,866 62,933 188,800 94,400 47,200 23,600 11,800 5,900 2,950 1,475

More profiles

← Previous Integer #8,372,106 Browse Full Index Next Integer #8,372,108 →