λ
Sigma Notebook

5,089,168

24 × 7 × 45439
Abundant Even Composite

5,089,168 is even and not a perfect square. Its factorization is 2^4 × 7 × 45439 and its 20 divisors sum to 11,269,120.

Prime Factor Structure

Factorization String 2^4 × 7 × 45439
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 11,269,120
Proper Divisor Sum 6,179,952
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5089159 ← → #5089199

Radix Representation

Decimal 5089168
Binary 10011011010011110010000 (23 bits)
Octal 0o23323620
Hexadecimal 0x4DA790

Divisor Catalog (20)

1 2 4 7 8 14 16 28 56 112 45,439 90,878 181,756 318,073 363,512 636,146 727,024 1,272,292 2,544,584 5,089,168

Collatz Trajectory (175 steps to reach 1)

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

5,089,168 2,544,584 1,272,292 636,146 318,073 954,220 477,110 238,555 715,666 357,833 1,073,500 536,750 268,375 805,126 402,563 1,207,690 603,845 1,811,536 905,768 452,884 226,442 113,221 339,664 169,832 84,916 42,458 21,229 63,688 31,844 15,922 7,961 23,884 11,942 5,971 17,914 8,957 26,872 13,436 6,718 3,359 10,078 5,039 15,118 7,559 22,678 11,339 34,018 17,009 51,028 25,514 12,757 38,272 19,136 9,568 4,784 2,392 1,196 598 299 898

More profiles

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