λ
Prime Ledger

2,388,211

72 × 17 × 47 × 61
Deficient Odd Composite

2,388,211 has the prime decomposition 7^2 × 17 × 47 × 61. Its 4 distinct prime factors produce 24 positive divisors.

Prime Factor Structure

Factorization String 7^2 × 17 × 47 × 61
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,053,376
Proper Divisor Sum 665,165
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #2388187 ← → #2388223

Radix Representation

Decimal 2388211
Binary 1001000111000011110011 (22 bits)
Octal 0o11070363
Hexadecimal 0x2470F3

Divisor Catalog (24)

1 7 17 47 49 61 119 329 427 799 833 1,037 2,303 2,867 2,989 5,593 7,259 20,069 39,151 48,739 50,813 140,483 341,173 2,388,211

Collatz Trajectory (99 steps to reach 1)

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

2,388,211 7,164,634 3,582,317 10,746,952 5,373,476 2,686,738 1,343,369 4,030,108 2,015,054 1,007,527 3,022,582 1,511,291 4,533,874 2,266,937 6,800,812 3,400,406 1,700,203 5,100,610 2,550,305 7,650,916 3,825,458 1,912,729 5,738,188 2,869,094 1,434,547 4,303,642 2,151,821 6,455,464 3,227,732 1,613,866 806,933 2,420,800 1,210,400 605,200 302,600 151,300 75,650 37,825 113,476 56,738 28,369 85,108 42,554 21,277 63,832 31,916 15,958 7,979 23,938 11,969 35,908 17,954 8,977 26,932 13,466 6,733 20,200 10,100 5,050 2,525

More profiles

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