λ
Ratio Atlas

3,227,031

32 × 367 × 977
Deficient Odd Composite

3,227,031 factors as 3^2 × 367 × 977. Its 12 positive divisors give a proper-divisor sum of 1,451,721, so this integer is deficient. The Collatz stopping time is 239 steps.

Prime Factor Structure

Factorization String 3^2 × 367 × 977
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 4,678,752
Proper Divisor Sum 1,451,721
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #3227027 ← → #3227039

Radix Representation

Decimal 3227031
Binary 1100010011110110010111 (22 bits)
Octal 0o14236627
Hexadecimal 0x313D97

Divisor Catalog (12)

1 3 9 367 977 1,101 2,931 3,303 8,793 358,559 1,075,677 3,227,031

Collatz Trajectory (239 steps to reach 1)

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

3,227,031 9,681,094 4,840,547 14,521,642 7,260,821 21,782,464 10,891,232 5,445,616 2,722,808 1,361,404 680,702 340,351 1,021,054 510,527 1,531,582 765,791 2,297,374 1,148,687 3,446,062 1,723,031 5,169,094 2,584,547 7,753,642 3,876,821 11,630,464 5,815,232 2,907,616 1,453,808 726,904 363,452 181,726 90,863 272,590 136,295 408,886 204,443 613,330 306,665 919,996 459,998 229,999 689,998 344,999 1,034,998 517,499 1,552,498 776,249 2,328,748 1,164,374 582,187 1,746,562 873,281 2,619,844 1,309,922 654,961 1,964,884 982,442 491,221 1,473,664 736,832

More profiles

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