300,348

2² × 3⁶ × 103

300,348 has the prime decomposition 2^2 × 3^6 × 103. Its 3 distinct prime factors produce 42 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^6 × 103

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 42

Divisor Sum (σ) 795,704

Proper Divisor Sum 495,356

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #300347 ← → #300367

Radix Representation

Decimal	300348
Binary	1001001010100111100 (19 bits)
Octal	0o1112474
Hexadecimal	0x4953C

Divisor Catalog (42)

1 2 3 4 6 9 12 18 27 36 54 81 103 108 162 206 243 309 324 412 486 618 729 927 972 1,236 1,458 1,854 2,781 2,916 3,708 5,562 8,343 11,124 16,686 25,029 33,372 50,058 75,087 100,116 150,174 300,348

Collatz Trajectory (233 steps to reach 1)

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

300,348 150,174 75,087 225,262 112,631 337,894 168,947 506,842 253,421 760,264 380,132 190,066 95,033 285,100 142,550 71,275 213,826 106,913 320,740 160,370 80,185 240,556 120,278 60,139 180,418 90,209 270,628 135,314 67,657 202,972 101,486 50,743 152,230 76,115 228,346 114,173 342,520 171,260 85,630 42,815 128,446 64,223 192,670 96,335 289,006 144,503 433,510 216,755 650,266 325,133 975,400 487,700 243,850 121,925 365,776 182,888 91,444 45,722 22,861 68,584

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