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Atlas › Integer Profiles › Node 2,243,710

2,243,710

2 × 5 × 72 × 19 × 241
Abundant Even Composite

2,243,710 factors as 2 × 5 × 7^2 × 19 × 241. Its 48 positive divisors give a proper-divisor sum of 2,722,130, so this integer is abundant. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7^2 × 19 × 241
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,965,840
Proper Divisor Sum 2,722,130
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2243699 ← → #2243723

Radix Representation

Decimal 2243710
Binary 1000100011110001111110 (22 bits)
Octal 0o10436176
Hexadecimal 0x223C7E

Divisor Catalog (48)

1 2 5 7 10 14 19 35 38 49 70 95 98 133 190 241 245 266 482 490 665 931 1,205 1,330 1,687 1,862 2,410 3,374 4,579 4,655 8,435 9,158 9,310 11,809 16,870 22,895 23,618 32,053 45,790 59,045 64,106 118,090 160,265 224,371 320,530 448,742 1,121,855 2,243,710

Collatz Trajectory (210 steps to reach 1)

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

2,243,710 1,121,855 3,365,566 1,682,783 5,048,350 2,524,175 7,572,526 3,786,263 11,358,790 5,679,395 17,038,186 8,519,093 25,557,280 12,778,640 6,389,320 3,194,660 1,597,330 798,665 2,395,996 1,197,998 598,999 1,796,998 898,499 2,695,498 1,347,749 4,043,248 2,021,624 1,010,812 505,406 252,703 758,110 379,055 1,137,166 568,583 1,705,750 852,875 2,558,626 1,279,313 3,837,940 1,918,970 959,485 2,878,456 1,439,228 719,614 359,807 1,079,422 539,711 1,619,134 809,567 2,428,702 1,214,351 3,643,054 1,821,527 5,464,582 2,732,291 8,196,874 4,098,437 12,295,312 6,147,656 3,073,828

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