2,243,016

2³ × 3² × 31153

2,243,016 factors as 2^3 × 3^2 × 31153. Its 24 positive divisors give a proper-divisor sum of 3,832,014, so this integer is abundant. The Collatz stopping time is 223 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 31153

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 6,075,030

Proper Divisor Sum 3,832,014

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #2242993 ← → #2243027

Radix Representation

Decimal	2243016
Binary	1000100011100111001000 (22 bits)
Octal	0o10434710
Hexadecimal	0x2239C8

Divisor Catalog (24)

1 2 3 4 6 8 9 12 18 24 36 72 31,153 62,306 93,459 124,612 186,918 249,224 280,377 373,836 560,754 747,672 1,121,508 2,243,016

Collatz Trajectory (223 steps to reach 1)

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

2,243,016 1,121,508 560,754 280,377 841,132 420,566 210,283 630,850 315,425 946,276 473,138 236,569 709,708 354,854 177,427 532,282 266,141 798,424 399,212 199,606 99,803 299,410 149,705 449,116 224,558 112,279 336,838 168,419 505,258 252,629 757,888 378,944 189,472 94,736 47,368 23,684 11,842 5,921 17,764 8,882 4,441 13,324 6,662 3,331 9,994 4,997 14,992 7,496 3,748 1,874 937 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375

More profiles

5,054,108 8,804,853 3,802,845 1,489,532 5,786,890 5,902,972 7,070,142 6,943,829 8,813,271 6,244,489 3,914,135 1,470,635 8,992,637 8,918,007 1,692,933 9,375,367

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