λ
Ratio Atlas
Atlas › Integer Profiles › Node 889,296

889,296

24 × 3 × 97 × 191
Abundant Even Composite

889,296 factors as 2^4 × 3 × 97 × 191. Its 40 positive divisors give a proper-divisor sum of 1,443,888, so this integer is abundant. The Collatz stopping time is 144 steps.

Prime Factor Structure

Factorization String 2^4 × 3 × 97 × 191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 2,333,184
Proper Divisor Sum 1,443,888
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #889289 ← → #889309

Radix Representation

Decimal 889296
Binary 11011001000111010000 (20 bits)
Octal 0o3310720
Hexadecimal 0xD91D0

Divisor Catalog (40)

1 2 3 4 6 8 12 16 24 48 97 191 194 291 382 388 573 582 764 776 1,146 1,164 1,528 1,552 2,292 2,328 3,056 4,584 4,656 9,168 18,527 37,054 55,581 74,108 111,162 148,216 222,324 296,432 444,648 889,296

Collatz Trajectory (144 steps to reach 1)

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

889,296 444,648 222,324 111,162 55,581 166,744 83,372 41,686 20,843 62,530 31,265 93,796 46,898 23,449 70,348 35,174 17,587 52,762 26,381 79,144 39,572 19,786 9,893 29,680 14,840 7,420 3,710 1,855 5,566 2,783 8,350 4,175 12,526 6,263 18,790 9,395 28,186 14,093 42,280 21,140 10,570 5,285 15,856 7,928 3,964 1,982 991 2,974 1,487 4,462 2,231 6,694 3,347 10,042 5,021 15,064 7,532 3,766 1,883 5,650

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #889,295 Browse Full Index Next Integer #889,297 →