300,660

2² × 3 × 5 × 5011

300,660 factors as 2^2 × 3 × 5 × 5011. Its 24 positive divisors give a proper-divisor sum of 541,356, so this integer is abundant. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 2^2 × 3 × 5 × 5011

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 842,016

Proper Divisor Sum 541,356

Digit Sum / Digital Root 15 (Root: 6)

Adjacent Primes #300649 ← → #300661

Radix Representation

Decimal	300660
Binary	1001001011001110100 (19 bits)
Octal	0o1113164
Hexadecimal	0x49674

Divisor Catalog (24)

1 2 3 4 5 6 10 12 15 20 30 60 5,011 10,022 15,033 20,044 25,055 30,066 50,110 60,132 75,165 100,220 150,330 300,660

Collatz Trajectory (233 steps to reach 1)

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

300,660 150,330 75,165 225,496 112,748 56,374 28,187 84,562 42,281 126,844 63,422 31,711 95,134 47,567 142,702 71,351 214,054 107,027 321,082 160,541 481,624 240,812 120,406 60,203 180,610 90,305 270,916 135,458 67,729 203,188 101,594 50,797 152,392 76,196 38,098 19,049 57,148 28,574 14,287 42,862 21,431 64,294 32,147 96,442 48,221 144,664 72,332 36,166 18,083 54,250 27,125 81,376 40,688 20,344 10,172 5,086 2,543 7,630 3,815 11,446

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