λ
Sigma Notebook

2,995,825

52 × 7 × 17 × 19 × 53
Deficient Odd Composite

2,995,825 is odd and not a perfect square. Its factorization is 5^2 × 7 × 17 × 19 × 53 and its 48 divisors sum to 4,821,120.

Prime Factor Structure

Factorization String 5^2 × 7 × 17 × 19 × 53
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,821,120
Proper Divisor Sum 1,825,295
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #2995823 ← → #2995831

Radix Representation

Decimal 2995825
Binary 1011011011011001110001 (22 bits)
Octal 0o13333161
Hexadecimal 0x2DB671

Divisor Catalog (48)

1 5 7 17 19 25 35 53 85 95 119 133 175 265 323 371 425 475 595 665 901 1,007 1,325 1,615 1,855 2,261 2,975 3,325 4,505 5,035 6,307 7,049 8,075 9,275 11,305 17,119 22,525 25,175 31,535 35,245 56,525 85,595 119,833 157,675 176,225 427,975 599,165 2,995,825

Collatz Trajectory (151 steps to reach 1)

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

2,995,825 8,987,476 4,493,738 2,246,869 6,740,608 3,370,304 1,685,152 842,576 421,288 210,644 105,322 52,661 157,984 78,992 39,496 19,748 9,874 4,937 14,812 7,406 3,703 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91

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