λ
Ratio Atlas
Atlas › Integer Profiles › Node 2,201,800

2,201,800

23 × 52 × 101 × 109
Abundant Even Composite

2,201,800 factors as 2^3 × 5^2 × 101 × 109. Its 48 positive divisors give a proper-divisor sum of 3,015,500, so this integer is abundant. The Collatz stopping time is 86 steps.

Prime Factor Structure

Factorization String 2^3 × 5^2 × 101 × 109
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,217,300
Proper Divisor Sum 3,015,500
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #2201761 ← → #2201807

Radix Representation

Decimal 2201800
Binary 1000011001100011001000 (22 bits)
Octal 0o10314310
Hexadecimal 0x2198C8

Divisor Catalog (48)

1 2 4 5 8 10 20 25 40 50 100 101 109 200 202 218 404 436 505 545 808 872 1,010 1,090 2,020 2,180 2,525 2,725 4,040 4,360 5,050 5,450 10,100 10,900 11,009 20,200 21,800 22,018 44,036 55,045 88,072 110,090 220,180 275,225 440,360 550,450 1,100,900 2,201,800

Collatz Trajectory (86 steps to reach 1)

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

2,201,800 1,100,900 550,450 275,225 825,676 412,838 206,419 619,258 309,629 928,888 464,444 232,222 116,111 348,334 174,167 522,502 261,251 783,754 391,877 1,175,632 587,816 293,908 146,954 73,477 220,432 110,216 55,108 27,554 13,777 41,332 20,666 10,333 31,000 15,500 7,750 3,875 11,626 5,813 17,440 8,720 4,360 2,180 1,090 545 1,636 818 409 1,228 614 307 922 461 1,384 692 346 173 520 260 130 65

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #2,201,799 Browse Full Index Next Integer #2,201,801 →