λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,952,947

5,952,947

7 × 11 × 13 × 19 × 313
Deficient Odd Composite

5,952,947 factors as 7 × 11 × 13 × 19 × 313. Its 32 positive divisors give a proper-divisor sum of 2,487,373, so this integer is deficient. The Collatz stopping time is 139 steps.

Prime Factor Structure

Factorization String 7 × 11 × 13 × 19 × 313
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 8,440,320
Proper Divisor Sum 2,487,373
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #5952911 ← → #5952949

Radix Representation

Decimal 5952947
Binary 10110101101010110110011 (23 bits)
Octal 0o26552663
Hexadecimal 0x5AD5B3

Divisor Catalog (32)

1 7 11 13 19 77 91 133 143 209 247 313 1,001 1,463 1,729 2,191 2,717 3,443 4,069 5,947 19,019 24,101 28,483 41,629 44,759 65,417 77,311 313,313 457,919 541,177 850,421 5,952,947

Collatz Trajectory (139 steps to reach 1)

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

5,952,947 17,858,842 8,929,421 26,788,264 13,394,132 6,697,066 3,348,533 10,045,600 5,022,800 2,511,400 1,255,700 627,850 313,925 941,776 470,888 235,444 117,722 58,861 176,584 88,292 44,146 22,073 66,220 33,110 16,555 49,666 24,833 74,500 37,250 18,625 55,876 27,938 13,969 41,908 20,954 10,477 31,432 15,716 7,858 3,929 11,788 5,894 2,947 8,842 4,421 13,264 6,632 3,316 1,658 829 2,488 1,244 622 311 934 467 1,402 701 2,104 1,052

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,952,946 Browse Full Index Next Integer #5,952,948 →