3,002,840

2³ × 5 × 41 × 1831

3,002,840 has digital root 8. The neighboring primes are 3002833 and 3002843; its proper-divisor sum differs from the starting integer by 919,280.

Prime Factor Structure

Factorization String 2^3 × 5 × 41 × 1831

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 6,924,960

Proper Divisor Sum 3,922,120

Digit Sum / Digital Root 17 (Root: 8)

Adjacent Primes #3002833 ← → #3002843

Radix Representation

Decimal	3002840
Binary	1011011101000111011000 (22 bits)
Octal	0o13350730
Hexadecimal	0x2DD1D8

Divisor Catalog (32)

1 2 4 5 8 10 20 40 41 82 164 205 328 410 820 1,640 1,831 3,662 7,324 9,155 14,648 18,310 36,620 73,240 75,071 150,142 300,284 375,355 600,568 750,710 1,501,420 3,002,840

Collatz Trajectory (89 steps to reach 1)

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

3,002,840 1,501,420 750,710 375,355 1,126,066 563,033 1,689,100 844,550 422,275 1,266,826 633,413 1,900,240 950,120 475,060 237,530 118,765 356,296 178,148 89,074 44,537 133,612 66,806 33,403 100,210 50,105 150,316 75,158 37,579 112,738 56,369 169,108 84,554 42,277 126,832 63,416 31,708 15,854 7,927 23,782 11,891 35,674 17,837 53,512 26,756 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468 4,234 2,117 6,352 3,176

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