λ
Prime Ledger

2,220,301

2220301
Deficient Odd Prime

2,220,301 has the prime decomposition 2220301. Its 1 distinct prime factor produce 2 positive divisors.

Prime Factor Structure

Factorization String 2220301
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 2,220,302
Proper Divisor Sum 1
Digit Sum / Digital Root 10 (Root: 1)
Adjacent Primes #2220293 ← → #2220307

Radix Representation

Decimal 2220301
Binary 1000011110000100001101 (22 bits)
Octal 0o10360415
Hexadecimal 0x21E10D

Divisor Catalog (2)

Collatz Trajectory (166 steps to reach 1)

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

2,220,301 6,660,904 3,330,452 1,665,226 832,613 2,497,840 1,248,920 624,460 312,230 156,115 468,346 234,173 702,520 351,260 175,630 87,815 263,446 131,723 395,170 197,585 592,756 296,378 148,189 444,568 222,284 111,142 55,571 166,714 83,357 250,072 125,036 62,518 31,259 93,778 46,889 140,668 70,334 35,167 105,502 52,751 158,254 79,127 237,382 118,691 356,074 178,037 534,112 267,056 133,528 66,764 33,382 16,691 50,074 25,037 75,112 37,556 18,778 9,389 28,168 14,084

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