λ
Ratio Atlas
Atlas › Integer Profiles › Node 4,702,736

4,702,736

24 × 251 × 1171
Deficient Even Composite

4,702,736 factors as 2^4 × 251 × 1171. Its 20 positive divisors give a proper-divisor sum of 4,452,928, so this integer is deficient. The Collatz stopping time is 330 steps.

Prime Factor Structure

Factorization String 2^4 × 251 × 1171
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 9,155,664
Proper Divisor Sum 4,452,928
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #4702729 ← → #4702771

Radix Representation

Decimal 4702736
Binary 10001111100001000010000 (23 bits)
Octal 0o21741020
Hexadecimal 0x47C210

Divisor Catalog (20)

1 2 4 8 16 251 502 1,004 1,171 2,008 2,342 4,016 4,684 9,368 18,736 293,921 587,842 1,175,684 2,351,368 4,702,736

Collatz Trajectory (330 steps to reach 1)

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

4,702,736 2,351,368 1,175,684 587,842 293,921 881,764 440,882 220,441 661,324 330,662 165,331 495,994 247,997 743,992 371,996 185,998 92,999 278,998 139,499 418,498 209,249 627,748 313,874 156,937 470,812 235,406 117,703 353,110 176,555 529,666 264,833 794,500 397,250 198,625 595,876 297,938 148,969 446,908 223,454 111,727 335,182 167,591 502,774 251,387 754,162 377,081 1,131,244 565,622 282,811 848,434 424,217 1,272,652 636,326 318,163 954,490 477,245 1,431,736 715,868 357,934 178,967

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #4,702,735 Browse Full Index Next Integer #4,702,737 →