300,162

2 × 3 × 19 × 2633

300,162 factors as 2 × 3 × 19 × 2633. Its 16 positive divisors give a proper-divisor sum of 331,998, so this integer is abundant. The Collatz stopping time is 65 steps.

Prime Factor Structure

Factorization String 2 × 3 × 19 × 2633

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 632,160

Proper Divisor Sum 331,998

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #300151 ← → #300163

Radix Representation

Decimal	300162
Binary	1001001010010000010 (19 bits)
Octal	0o1112202
Hexadecimal	0x49482

Divisor Catalog (16)

1 2 3 6 19 38 57 114 2,633 5,266 7,899 15,798 50,027 100,054 150,081 300,162

Collatz Trajectory (65 steps to reach 1)

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

300,162 150,081 450,244 225,122 112,561 337,684 168,842 84,421 253,264 126,632 63,316 31,658 15,829 47,488 23,744 11,872 5,936 2,968 1,484 742 371 1,114 557 1,672 836 418 209 628 314 157 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44 22 11 34 17 52 26 13 40 20 10

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