λ
Ratio Atlas

3,284,436

22 × 3 × 191 × 1433
Abundant Even Composite

3,284,436 factors as 2^2 × 3 × 191 × 1433. Its 24 positive divisors give a proper-divisor sum of 4,424,748, so this integer is abundant. The Collatz stopping time is 84 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 191 × 1433
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,709,184
Proper Divisor Sum 4,424,748
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #3284371 ← → #3284441

Radix Representation

Decimal 3284436
Binary 1100100001110111010100 (22 bits)
Octal 0o14416724
Hexadecimal 0x321DD4

Divisor Catalog (24)

1 2 3 4 6 12 191 382 573 764 1,146 1,433 2,292 2,866 4,299 5,732 8,598 17,196 273,703 547,406 821,109 1,094,812 1,642,218 3,284,436

Collatz Trajectory (84 steps to reach 1)

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

3,284,436 1,642,218 821,109 2,463,328 1,231,664 615,832 307,916 153,958 76,979 230,938 115,469 346,408 173,204 86,602 43,301 129,904 64,952 32,476 16,238 8,119 24,358 12,179 36,538 18,269 54,808 27,404 13,702 6,851 20,554 10,277 30,832 15,416 7,708 3,854 1,927 5,782 2,891 8,674 4,337 13,012 6,506 3,253 9,760 4,880 2,440 1,220 610 305 916 458 229 688 344 172 86 43 130 65 196 98

More profiles

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