λ
Sigma Notebook

2,957,559

3 × 11 × 19 × 53 × 89
Deficient Odd Composite

2,957,559 is odd and not a perfect square. Its factorization is 3 × 11 × 19 × 53 × 89 and its 32 divisors sum to 4,665,600.

Prime Factor Structure

Factorization String 3 × 11 × 19 × 53 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 4,665,600
Proper Divisor Sum 1,708,041
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #2957531 ← → #2957579

Radix Representation

Decimal 2957559
Binary 1011010010000011110111 (22 bits)
Octal 0o13220367
Hexadecimal 0x2D20F7

Divisor Catalog (32)

1 3 11 19 33 53 57 89 159 209 267 583 627 979 1,007 1,691 1,749 2,937 3,021 4,717 5,073 11,077 14,151 18,601 33,231 51,887 55,803 89,623 155,661 268,869 985,853 2,957,559

Collatz Trajectory (120 steps to reach 1)

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

2,957,559 8,872,678 4,436,339 13,309,018 6,654,509 19,963,528 9,981,764 4,990,882 2,495,441 7,486,324 3,743,162 1,871,581 5,614,744 2,807,372 1,403,686 701,843 2,105,530 1,052,765 3,158,296 1,579,148 789,574 394,787 1,184,362 592,181 1,776,544 888,272 444,136 222,068 111,034 55,517 166,552 83,276 41,638 20,819 62,458 31,229 93,688 46,844 23,422 11,711 35,134 17,567 52,702 26,351 79,054 39,527 118,582 59,291 177,874 88,937 266,812 133,406 66,703 200,110 100,055 300,166 150,083 450,250 225,125 675,376

More profiles

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