301,887

3⁴ × 3727

301,887 factors as 3^4 × 3727. Its 10 positive divisors give a proper-divisor sum of 149,201, so this integer is deficient. The Collatz stopping time is 233 steps.

Prime Factor Structure

Factorization String 3^4 × 3727

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 451,088

Proper Divisor Sum 149,201

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #301877 ← → #301897

Radix Representation

Decimal	301887
Binary	1001001101100111111 (19 bits)
Octal	0o1115477
Hexadecimal	0x49B3F

Divisor Catalog (10)

1 3 9 27 81 3,727 11,181 33,543 100,629 301,887

Collatz Trajectory (233 steps to reach 1)

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

301,887 905,662 452,831 1,358,494 679,247 2,037,742 1,018,871 3,056,614 1,528,307 4,584,922 2,292,461 6,877,384 3,438,692 1,719,346 859,673 2,579,020 1,289,510 644,755 1,934,266 967,133 2,901,400 1,450,700 725,350 362,675 1,088,026 544,013 1,632,040 816,020 408,010 204,005 612,016 306,008 153,004 76,502 38,251 114,754 57,377 172,132 86,066 43,033 129,100 64,550 32,275 96,826 48,413 145,240 72,620 36,310 18,155 54,466 27,233 81,700 40,850 20,425 61,276 30,638 15,319 45,958 22,979 68,938

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