λ
Sigma Notebook

2,591,673

3 × 7 × 167 × 739
Deficient Odd Composite

2,591,673 is odd and not a perfect square. Its factorization is 3 × 7 × 167 × 739 and its 16 divisors sum to 3,978,240.

Prime Factor Structure

Factorization String 3 × 7 × 167 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,978,240
Proper Divisor Sum 1,386,567
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #2591669 ← → #2591681

Radix Representation

Decimal 2591673
Binary 1001111000101110111001 (22 bits)
Octal 0o11705671
Hexadecimal 0x278BB9

Divisor Catalog (16)

1 3 7 21 167 501 739 1,169 2,217 3,507 5,173 15,519 123,413 370,239 863,891 2,591,673

Collatz Trajectory (461 steps to reach 1)

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

2,591,673 7,775,020 3,887,510 1,943,755 5,831,266 2,915,633 8,746,900 4,373,450 2,186,725 6,560,176 3,280,088 1,640,044 820,022 410,011 1,230,034 615,017 1,845,052 922,526 461,263 1,383,790 691,895 2,075,686 1,037,843 3,113,530 1,556,765 4,670,296 2,335,148 1,167,574 583,787 1,751,362 875,681 2,627,044 1,313,522 656,761 1,970,284 985,142 492,571 1,477,714 738,857 2,216,572 1,108,286 554,143 1,662,430 831,215 2,493,646 1,246,823 3,740,470 1,870,235 5,610,706 2,805,353 8,416,060 4,208,030 2,104,015 6,312,046 3,156,023 9,468,070 4,734,035 14,202,106 7,101,053 21,303,160

More profiles

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