3,001,176

2³ × 3² × 73 × 571

3,001,176 has digital root 9. The neighboring primes are 3001171 and 3001213; its proper-divisor sum differs from the starting integer by 2,251,608.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 73 × 571

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 8,253,960

Proper Divisor Sum 5,252,784

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3001171 ← → #3001213

Radix Representation

Decimal	3001176
Binary	1011011100101101011000 (22 bits)
Octal	0o13345530
Hexadecimal	0x2DCB58

Divisor Catalog (48)

1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 571 584 657 876 1,142 1,314 1,713 1,752 2,284 2,628 3,426 4,568 5,139 5,256 6,852 10,278 13,704 20,556 41,112 41,683 83,366 125,049 166,732 250,098 333,464 375,147 500,196 750,294 1,000,392 1,500,588 3,001,176

Collatz Trajectory (138 steps to reach 1)

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

3,001,176 1,500,588 750,294 375,147 1,125,442 562,721 1,688,164 844,082 422,041 1,266,124 633,062 316,531 949,594 474,797 1,424,392 712,196 356,098 178,049 534,148 267,074 133,537 400,612 200,306 100,153 300,460 150,230 75,115 225,346 112,673 338,020 169,010 84,505 253,516 126,758 63,379 190,138 95,069 285,208 142,604 71,302 35,651 106,954 53,477 160,432 80,216 40,108 20,054 10,027 30,082 15,041 45,124 22,562 11,281 33,844 16,922 8,461 25,384 12,692 6,346 3,173

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