λ
Modular Archive

3,005,140

22 × 5 × 31 × 37 × 131
Abundant Even Composite

The decimal integer 3,005,140 is 1011011101101011010100 in binary (22 bits), 13355324 in octal and 2DDAD4 in hexadecimal. Its digit sum is 13.

Prime Factor Structure

Factorization String 2^2 × 5 × 31 × 37 × 131
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 6,741,504
Proper Divisor Sum 3,736,364
Digit Sum / Digital Root 13 (Root: 4)
Adjacent Primes #3005131 ← → #3005147

Radix Representation

Decimal 3005140
Binary 1011011101101011010100 (22 bits)
Octal 0o13355324
Hexadecimal 0x2DDAD4

Divisor Catalog (48)

1 2 4 5 10 20 31 37 62 74 124 131 148 155 185 262 310 370 524 620 655 740 1,147 1,310 2,294 2,620 4,061 4,588 4,847 5,735 8,122 9,694 11,470 16,244 19,388 20,305 22,940 24,235 40,610 48,470 81,220 96,940 150,257 300,514 601,028 751,285 1,502,570 3,005,140

Collatz Trajectory (151 steps to reach 1)

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

3,005,140 1,502,570 751,285 2,253,856 1,126,928 563,464 281,732 140,866 70,433 211,300 105,650 52,825 158,476 79,238 39,619 118,858 59,429 178,288 89,144 44,572 22,286 11,143 33,430 16,715 50,146 25,073 75,220 37,610 18,805 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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