301,020

2² × 3 × 5 × 29 × 173

301,020 has the prime decomposition 2^2 × 3 × 5 × 29 × 173. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 29 × 173

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 876,960

Proper Divisor Sum 575,940

Digit Sum / Digital Root 6 (Root: 6)

Adjacent Primes #301013 ← → #301027

Radix Representation

Decimal	301020
Binary	1001001011111011100 (19 bits)
Octal	0o1113734
Hexadecimal	0x497DC

Divisor Catalog (48)

1 2 3 4 5 6 10 12 15 20 29 30 58 60 87 116 145 173 174 290 346 348 435 519 580 692 865 870 1,038 1,730 1,740 2,076 2,595 3,460 5,017 5,190 10,034 10,380 15,051 20,068 25,085 30,102 50,170 60,204 75,255 100,340 150,510 301,020

Collatz Trajectory (65 steps to reach 1)

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

301,020 150,510 75,255 225,766 112,883 338,650 169,325 507,976 253,988 126,994 63,497 190,492 95,246 47,623 142,870 71,435 214,306 107,153 321,460 160,730 80,365 241,096 120,548 60,274 30,137 90,412 45,206 22,603 67,810 33,905 101,716 50,858 25,429 76,288 38,144 19,072 9,536 4,768 2,384 1,192 596 298 149 448 224 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10

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