λ
Sigma Notebook

4,432,038

2 × 3 × 13 × 56821
Abundant Even Composite

4,432,038 is even and not a perfect square. Its factorization is 2 × 3 × 13 × 56821 and its 16 divisors sum to 9,546,096.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 56821
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,546,096
Proper Divisor Sum 5,114,058
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #4432009 ← → #4432069

Radix Representation

Decimal 4432038
Binary 10000111010000010100110 (23 bits)
Octal 0o20720246
Hexadecimal 0x43A0A6

Divisor Catalog (16)

1 2 3 6 13 26 39 78 56,821 113,642 170,463 340,926 738,673 1,477,346 2,216,019 4,432,038

Collatz Trajectory (118 steps to reach 1)

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

4,432,038 2,216,019 6,648,058 3,324,029 9,972,088 4,986,044 2,493,022 1,246,511 3,739,534 1,869,767 5,609,302 2,804,651 8,413,954 4,206,977 12,620,932 6,310,466 3,155,233 9,465,700 4,732,850 2,366,425 7,099,276 3,549,638 1,774,819 5,324,458 2,662,229 7,986,688 3,993,344 1,996,672 998,336 499,168 249,584 124,792 62,396 31,198 15,599 46,798 23,399 70,198 35,099 105,298 52,649 157,948 78,974 39,487 118,462 59,231 177,694 88,847 266,542 133,271 399,814 199,907 599,722 299,861 899,584 449,792 224,896 112,448 56,224 28,112

More profiles

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