λ
Sigma Notebook

4,457,638

2 × 17 × 43 × 3049
Deficient Even Composite

4,457,638 is even and not a perfect square. Its factorization is 2 × 17 × 43 × 3049 and its 16 divisors sum to 7,246,800.

Prime Factor Structure

Factorization String 2 × 17 × 43 × 3049
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 7,246,800
Proper Divisor Sum 2,789,162
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #4457623 ← → #4457639

Radix Representation

Decimal 4457638
Binary 10001000000010010100110 (23 bits)
Octal 0o21002246
Hexadecimal 0x4404A6

Divisor Catalog (16)

1 2 17 34 43 86 731 1,462 3,049 6,098 51,833 103,666 131,107 262,214 2,228,819 4,457,638

Collatz Trajectory (193 steps to reach 1)

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

4,457,638 2,228,819 6,686,458 3,343,229 10,029,688 5,014,844 2,507,422 1,253,711 3,761,134 1,880,567 5,641,702 2,820,851 8,462,554 4,231,277 12,693,832 6,346,916 3,173,458 1,586,729 4,760,188 2,380,094 1,190,047 3,570,142 1,785,071 5,355,214 2,677,607 8,032,822 4,016,411 12,049,234 6,024,617 18,073,852 9,036,926 4,518,463 13,555,390 6,777,695 20,333,086 10,166,543 30,499,630 15,249,815 45,749,446 22,874,723 68,624,170 34,312,085 102,936,256 51,468,128 25,734,064 12,867,032 6,433,516 3,216,758 1,608,379 4,825,138 2,412,569 7,237,708 3,618,854 1,809,427 5,428,282 2,714,141 8,142,424 4,071,212 2,035,606 1,017,803

More profiles

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