λ
Prime Ledger

301,218

2 × 3 × 61 × 823
Abundant Even Composite

301,218 has the prime decomposition 2 × 3 × 61 × 823. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 61 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 613,056
Proper Divisor Sum 311,838
Digit Sum / Digital Root 15 (Root: 6)
Adjacent Primes #301211 ← → #301219

Radix Representation

Decimal 301218
Binary 1001001100010100010 (19 bits)
Octal 0o1114242
Hexadecimal 0x498A2

Divisor Catalog (16)

1 2 3 6 61 122 183 366 823 1,646 2,469 4,938 50,203 100,406 150,609 301,218

Collatz Trajectory (127 steps to reach 1)

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

301,218 150,609 451,828 225,914 112,957 338,872 169,436 84,718 42,359 127,078 63,539 190,618 95,309 285,928 142,964 71,482 35,741 107,224 53,612 26,806 13,403 40,210 20,105 60,316 30,158 15,079 45,238 22,619 67,858 33,929 101,788 50,894 25,447 76,342 38,171 114,514 57,257 171,772 85,886 42,943 128,830 64,415 193,246 96,623 289,870 144,935 434,806 217,403 652,210 326,105 978,316 489,158 244,579 733,738 366,869 1,100,608 550,304 275,152 137,576 68,788

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