λ
Sigma Notebook

2,048,673

3 × 11 × 62081
Deficient Odd Composite

2,048,673 is odd and not a perfect square. Its factorization is 3 × 11 × 62081 and its 8 divisors sum to 2,979,936.

Prime Factor Structure

Factorization String 3 × 11 × 62081
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,979,936
Proper Divisor Sum 931,263
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #2048671 ← → #2048677

Radix Representation

Decimal 2048673
Binary 111110100001010100001 (21 bits)
Octal 0o7641241
Hexadecimal 0x1F42A1

Divisor Catalog (8)

1 3 11 33 62,081 186,243 682,891 2,048,673

Collatz Trajectory (189 steps to reach 1)

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

2,048,673 6,146,020 3,073,010 1,536,505 4,609,516 2,304,758 1,152,379 3,457,138 1,728,569 5,185,708 2,592,854 1,296,427 3,889,282 1,944,641 5,833,924 2,916,962 1,458,481 4,375,444 2,187,722 1,093,861 3,281,584 1,640,792 820,396 410,198 205,099 615,298 307,649 922,948 461,474 230,737 692,212 346,106 173,053 519,160 259,580 129,790 64,895 194,686 97,343 292,030 146,015 438,046 219,023 657,070 328,535 985,606 492,803 1,478,410 739,205 2,217,616 1,108,808 554,404 277,202 138,601 415,804 207,902 103,951 311,854 155,927 467,782

More profiles

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