λ
Sigma Notebook

2,084,379

3 × 11 × 83 × 761
Deficient Odd Composite

2,084,379 is odd and not a perfect square. Its factorization is 3 × 11 × 83 × 761 and its 16 divisors sum to 3,072,384.

Prime Factor Structure

Factorization String 3 × 11 × 83 × 761
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,072,384
Proper Divisor Sum 988,005
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2084359 ← → #2084389

Radix Representation

Decimal 2084379
Binary 111111100111000011011 (21 bits)
Octal 0o7747033
Hexadecimal 0x1FCE1B

Divisor Catalog (16)

1 3 11 33 83 249 761 913 2,283 2,739 8,371 25,113 63,163 189,489 694,793 2,084,379

Collatz Trajectory (109 steps to reach 1)

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

2,084,379 6,253,138 3,126,569 9,379,708 4,689,854 2,344,927 7,034,782 3,517,391 10,552,174 5,276,087 15,828,262 7,914,131 23,742,394 11,871,197 35,613,592 17,806,796 8,903,398 4,451,699 13,355,098 6,677,549 20,032,648 10,016,324 5,008,162 2,504,081 7,512,244 3,756,122 1,878,061 5,634,184 2,817,092 1,408,546 704,273 2,112,820 1,056,410 528,205 1,584,616 792,308 396,154 198,077 594,232 297,116 148,558 74,279 222,838 111,419 334,258 167,129 501,388 250,694 125,347 376,042 188,021 564,064 282,032 141,016 70,508 35,254 17,627 52,882 26,441 79,324

More profiles

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