λ
Ratio Atlas
Atlas › Integer Profiles › Node 9,855,296

9,855,296

26 × 11 × 13999
Abundant Even Composite

9,855,296 factors as 2^6 × 11 × 13999. Its 28 positive divisors give a proper-divisor sum of 11,480,704, so this integer is abundant. The Collatz stopping time is 57 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 13999
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 28
Divisor Sum (σ) 21,336,000
Proper Divisor Sum 11,480,704
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #9855271 ← → #9855311

Radix Representation

Decimal 9855296
Binary 100101100110000101000000 (24 bits)
Octal 0o45460500
Hexadecimal 0x966140

Divisor Catalog (28)

1 2 4 8 11 16 22 32 44 64 88 176 352 704 13,999 27,998 55,996 111,992 153,989 223,984 307,978 447,968 615,956 895,936 1,231,912 2,463,824 4,927,648 9,855,296

Collatz Trajectory (57 steps to reach 1)

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

9,855,296 4,927,648 2,463,824 1,231,912 615,956 307,978 153,989 461,968 230,984 115,492 57,746 28,873 86,620 43,310 21,655 64,966 32,483 97,450 48,725 146,176 73,088 36,544 18,272 9,136 4,568 2,284 1,142 571 1,714 857 2,572 1,286 643 1,930 965 2,896 1,448 724 362 181 544 272 136 68 34 17 52 26 13 40 20 10 5 16 8 4 2 1

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #9,855,295 Browse Full Index Next Integer #9,855,297 →