λ
Ratio Atlas

2,311,147

2311147
Deficient Odd Prime

2,311,147 factors as 2311147. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 329 steps.

Prime Factor Structure

Factorization String 2311147
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,311,148
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #2311123 ← → #2311151

Radix Representation

Decimal 2311147
Binary 1000110100001111101011 (22 bits)
Octal 0o10641753
Hexadecimal 0x2343EB

Divisor Catalog (2)

Collatz Trajectory (329 steps to reach 1)

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

2,311,147 6,933,442 3,466,721 10,400,164 5,200,082 2,600,041 7,800,124 3,900,062 1,950,031 5,850,094 2,925,047 8,775,142 4,387,571 13,162,714 6,581,357 19,744,072 9,872,036 4,936,018 2,468,009 7,404,028 3,702,014 1,851,007 5,553,022 2,776,511 8,329,534 4,164,767 12,494,302 6,247,151 18,741,454 9,370,727 28,112,182 14,056,091 42,168,274 21,084,137 63,252,412 31,626,206 15,813,103 47,439,310 23,719,655 71,158,966 35,579,483 106,738,450 53,369,225 160,107,676 80,053,838 40,026,919 120,080,758 60,040,379 180,121,138 90,060,569 270,181,708 135,090,854 67,545,427 202,636,282 101,318,141 303,954,424 151,977,212 75,988,606 37,994,303 113,982,910

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