λ
Ratio Atlas

2,773,284

22 × 3 × 231107
Abundant Even Composite

2,773,284 factors as 2^2 × 3 × 231107. Its 12 positive divisors give a proper-divisor sum of 3,697,740, so this integer is abundant. The Collatz stopping time is 187 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 231107
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,471,024
Proper Divisor Sum 3,697,740
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2773273 ← → #2773289

Radix Representation

Decimal 2773284
Binary 1010100101000100100100 (22 bits)
Octal 0o12450444
Hexadecimal 0x2A5124

Divisor Catalog (12)

1 2 3 4 6 12 231,107 462,214 693,321 924,428 1,386,642 2,773,284

Collatz Trajectory (187 steps to reach 1)

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

2,773,284 1,386,642 693,321 2,079,964 1,039,982 519,991 1,559,974 779,987 2,339,962 1,169,981 3,509,944 1,754,972 877,486 438,743 1,316,230 658,115 1,974,346 987,173 2,961,520 1,480,760 740,380 370,190 185,095 555,286 277,643 832,930 416,465 1,249,396 624,698 312,349 937,048 468,524 234,262 117,131 351,394 175,697 527,092 263,546 131,773 395,320 197,660 98,830 49,415 148,246 74,123 222,370 111,185 333,556 166,778 83,389 250,168 125,084 62,542 31,271 93,814 46,907 140,722 70,361 211,084 105,542

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