λ
Sigma Notebook

2,322,252

22 × 32 × 251 × 257
Abundant Even Composite

2,322,252 is even and not a perfect square. Its factorization is 2^2 × 3^2 × 251 × 257 and its 36 divisors sum to 5,916,456.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 251 × 257
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 5,916,456
Proper Divisor Sum 3,594,204
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #2322247 ← → #2322253

Radix Representation

Decimal 2322252
Binary 1000110110111101001100 (22 bits)
Octal 0o10667514
Hexadecimal 0x236F4C

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 251 257 502 514 753 771 1,004 1,028 1,506 1,542 2,259 2,313 3,012 3,084 4,518 4,626 9,036 9,252 64,507 129,014 193,521 258,028 387,042 580,563 774,084 1,161,126 2,322,252

Collatz Trajectory (192 steps to reach 1)

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

2,322,252 1,161,126 580,563 1,741,690 870,845 2,612,536 1,306,268 653,134 326,567 979,702 489,851 1,469,554 734,777 2,204,332 1,102,166 551,083 1,653,250 826,625 2,479,876 1,239,938 619,969 1,859,908 929,954 464,977 1,394,932 697,466 348,733 1,046,200 523,100 261,550 130,775 392,326 196,163 588,490 294,245 882,736 441,368 220,684 110,342 55,171 165,514 82,757 248,272 124,136 62,068 31,034 15,517 46,552 23,276 11,638 5,819 17,458 8,729 26,188 13,094 6,547 19,642 9,821 29,464 14,732

More profiles

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