3,008,340

2² × 3⁵ × 5 × 619

3,008,340 has the prime decomposition 2^2 × 3^5 × 5 × 619. Its 4 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3^5 × 5 × 619

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 9,478,560

Proper Divisor Sum 6,470,220

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #3008339 ← → #3008347

Radix Representation

Decimal	3008340
Binary	1011011110011101010100 (22 bits)
Octal	0o13363524
Hexadecimal	0x2DE754

Divisor Catalog (60 of 72)

1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 619 810 972 1,215 1,238 1,620 1,857 2,430 2,476 3,095 3,714 4,860 5,571 6,190 7,428 9,285 11,142 12,380 16,713 18,570 22,284 27,855 33,426 37,140 50,139 55,710 66,852 83,565 100,278 111,420

Collatz Trajectory (63 steps to reach 1)

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

3,008,340 1,504,170 752,085 2,256,256 1,128,128 564,064 282,032 141,016 70,508 35,254 17,627 52,882 26,441 79,324 39,662 19,831 59,494 29,747 89,242 44,621 133,864 66,932 33,466 16,733 50,200 25,100 12,550 6,275 18,826 9,413 28,240 14,120 7,060 3,530 1,765 5,296 2,648 1,324 662 331 994 497 1,492 746 373 1,120 560 280 140 70 35 106 53 160 80 40 20 10 5 16

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