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3,233,804

22 × 73 × 2357
Abundant Even Composite

3,233,804 factors as 2^2 × 7^3 × 2357. Its 24 positive divisors give a proper-divisor sum of 3,368,596, so this integer is abundant. The Collatz stopping time is 208 steps.

Prime Factor Structure

Factorization String 2^2 × 7^3 × 2357
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,602,400
Proper Divisor Sum 3,368,596
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #3233803 ← → #3233809

Radix Representation

Decimal 3233804
Binary 1100010101100000001100 (22 bits)
Octal 0o14254014
Hexadecimal 0x31580C

Divisor Catalog (24)

1 2 4 7 14 28 49 98 196 343 686 1,372 2,357 4,714 9,428 16,499 32,998 65,996 115,493 230,986 461,972 808,451 1,616,902 3,233,804

Collatz Trajectory (208 steps to reach 1)

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

3,233,804 1,616,902 808,451 2,425,354 1,212,677 3,638,032 1,819,016 909,508 454,754 227,377 682,132 341,066 170,533 511,600 255,800 127,900 63,950 31,975 95,926 47,963 143,890 71,945 215,836 107,918 53,959 161,878 80,939 242,818 121,409 364,228 182,114 91,057 273,172 136,586 68,293 204,880 102,440 51,220 25,610 12,805 38,416 19,208 9,604 4,802 2,401 7,204 3,602 1,801 5,404 2,702 1,351 4,054 2,027 6,082 3,041 9,124 4,562 2,281 6,844 3,422

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