λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,199,896

2,199,896

23 × 19 × 41 × 353
Abundant Even Composite

2,199,896 factors as 2^3 × 19 × 41 × 353. Its 32 positive divisors give a proper-divisor sum of 2,260,504, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 19 × 41 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,460,400
Proper Divisor Sum 2,260,504
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #2199893 ← → #2199907

Radix Representation

Decimal 2199896
Binary 1000011001000101011000 (22 bits)
Octal 0o10310530
Hexadecimal 0x219158

Divisor Catalog (32)

1 2 4 8 19 38 41 76 82 152 164 328 353 706 779 1,412 1,558 2,824 3,116 6,232 6,707 13,414 14,473 26,828 28,946 53,656 57,892 115,784 274,987 549,974 1,099,948 2,199,896

Collatz Trajectory (86 steps to reach 1)

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

2,199,896 1,099,948 549,974 274,987 824,962 412,481 1,237,444 618,722 309,361 928,084 464,042 232,021 696,064 348,032 174,016 87,008 43,504 21,752 10,876 5,438 2,719 8,158 4,079 12,238 6,119 18,358 9,179 27,538 13,769 41,308 20,654 10,327 30,982 15,491 46,474 23,237 69,712 34,856 17,428 8,714 4,357 13,072 6,536 3,268 1,634 817 2,452 1,226 613 1,840 920 460 230 115 346 173 520 260 130 65

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,199,895 Browse Full Index Next Integer #2,199,897 →