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Atlas › Integer Profiles › Node 3,332,097

3,332,097

34 × 31 × 1327
Deficient Odd Composite

3,332,097 factors as 3^4 × 31 × 1327. Its 20 positive divisors give a proper-divisor sum of 1,809,919, so this integer is deficient. The Collatz stopping time is 120 steps.

Prime Factor Structure

Factorization String 3^4 × 31 × 1327
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 5,142,016
Proper Divisor Sum 1,809,919
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3332093 ← → #3332107

Radix Representation

Decimal 3332097
Binary 1100101101100000000001 (22 bits)
Octal 0o14554001
Hexadecimal 0x32D801

Divisor Catalog (20)

1 3 9 27 31 81 93 279 837 1,327 2,511 3,981 11,943 35,829 41,137 107,487 123,411 370,233 1,110,699 3,332,097

Collatz Trajectory (120 steps to reach 1)

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

3,332,097 9,996,292 4,998,146 2,499,073 7,497,220 3,748,610 1,874,305 5,622,916 2,811,458 1,405,729 4,217,188 2,108,594 1,054,297 3,162,892 1,581,446 790,723 2,372,170 1,186,085 3,558,256 1,779,128 889,564 444,782 222,391 667,174 333,587 1,000,762 500,381 1,501,144 750,572 375,286 187,643 562,930 281,465 844,396 422,198 211,099 633,298 316,649 949,948 474,974 237,487 712,462 356,231 1,068,694 534,347 1,603,042 801,521 2,404,564 1,202,282 601,141 1,803,424 901,712 450,856 225,428 112,714 56,357 169,072 84,536 42,268 21,134

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