2,960,127

3² × 67 × 4909

2,960,127 factors as 3^2 × 67 × 4909. Its 12 positive divisors give a proper-divisor sum of 1,380,313, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3^2 × 67 × 4909

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 4,340,440

Proper Divisor Sum 1,380,313

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #2960101 ← → #2960129

Radix Representation

Decimal	2960127
Binary	1011010010101011111111 (22 bits)
Octal	0o13225377
Hexadecimal	0x2D2AFF

Divisor Catalog (12)

1 3 9 67 201 603 4,909 14,727 44,181 328,903 986,709 2,960,127

Collatz Trajectory (151 steps to reach 1)

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

2,960,127 8,880,382 4,440,191 13,320,574 6,660,287 19,980,862 9,990,431 29,971,294 14,985,647 44,956,942 22,478,471 67,435,414 33,717,707 101,153,122 50,576,561 151,729,684 75,864,842 37,932,421 113,797,264 56,898,632 28,449,316 14,224,658 7,112,329 21,336,988 10,668,494 5,334,247 16,002,742 8,001,371 24,004,114 12,002,057 36,006,172 18,003,086 9,001,543 27,004,630 13,502,315 40,506,946 20,253,473 60,760,420 30,380,210 15,190,105 45,570,316 22,785,158 11,392,579 34,177,738 17,088,869 51,266,608 25,633,304 12,816,652 6,408,326 3,204,163 9,612,490 4,806,245 14,418,736 7,209,368 3,604,684 1,802,342 901,171 2,703,514 1,351,757 4,055,272

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