λ
Sigma Notebook

1,071,939

3 × 112 × 2953
Deficient Odd Composite

1,071,939 is odd and not a perfect square. Its factorization is 3 × 11^2 × 2953 and its 12 divisors sum to 1,571,528.

Prime Factor Structure

Factorization String 3 × 11^2 × 2953
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 1,571,528
Proper Divisor Sum 499,589
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #1071937 ← → #1071943

Radix Representation

Decimal 1071939
Binary 100000101101101000011 (21 bits)
Octal 0o4055503
Hexadecimal 0x105B43

Divisor Catalog (12)

1 3 11 33 121 363 2,953 8,859 32,483 97,449 357,313 1,071,939

Collatz Trajectory (134 steps to reach 1)

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

1,071,939 3,215,818 1,607,909 4,823,728 2,411,864 1,205,932 602,966 301,483 904,450 452,225 1,356,676 678,338 339,169 1,017,508 508,754 254,377 763,132 381,566 190,783 572,350 286,175 858,526 429,263 1,287,790 643,895 1,931,686 965,843 2,897,530 1,448,765 4,346,296 2,173,148 1,086,574 543,287 1,629,862 814,931 2,444,794 1,222,397 3,667,192 1,833,596 916,798 458,399 1,375,198 687,599 2,062,798 1,031,399 3,094,198 1,547,099 4,641,298 2,320,649 6,961,948 3,480,974 1,740,487 5,221,462 2,610,731 7,832,194 3,916,097 11,748,292 5,874,146 2,937,073 8,811,220

More profiles

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