λ
Prime Ledger

5,741,336

23 × 717667
Deficient Even Composite

5,741,336 has the prime decomposition 2^3 × 717667. Its 2 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 717667
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,765,020
Proper Divisor Sum 5,023,684
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5741321 ← → #5741339

Radix Representation

Decimal 5741336
Binary 10101111001101100011000 (23 bits)
Octal 0o25715430
Hexadecimal 0x579B18

Divisor Catalog (8)

1 2 4 8 717,667 1,435,334 2,870,668 5,741,336

Collatz Trajectory (77 steps to reach 1)

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

5,741,336 2,870,668 1,435,334 717,667 2,153,002 1,076,501 3,229,504 1,614,752 807,376 403,688 201,844 100,922 50,461 151,384 75,692 37,846 18,923 56,770 28,385 85,156 42,578 21,289 63,868 31,934 15,967 47,902 23,951 71,854 35,927 107,782 53,891 161,674 80,837 242,512 121,256 60,628 30,314 15,157 45,472 22,736 11,368 5,684 2,842 1,421 4,264 2,132 1,066 533 1,600 800 400 200 100 50 25 76 38 19 58 29

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