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Atlas › Integer Profiles › Node 3,084,615

3,084,615

33 × 5 × 73 × 313
Deficient Odd Composite

Prime Factor Structure

Factorization String 3^3 × 5 × 73 × 313
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 5,576,640
Proper Divisor Sum 2,492,025
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #3084611 ← → #3084617

Radix Representation

Decimal 3084615
Binary 1011110001000101000111 (22 bits)
Octal 0o13610507
Hexadecimal 0x2F1147

Divisor Catalog (32)

1 3 5 9 15 27 45 73 135 219 313 365 657 939 1,095 1,565 1,971 2,817 3,285 4,695 8,451 9,855 14,085 22,849 42,255 68,547 114,245 205,641 342,735 616,923 1,028,205 3,084,615

Collatz Trajectory (239 steps to reach 1)

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

3,084,615 9,253,846 4,626,923 13,880,770 6,940,385 20,821,156 10,410,578 5,205,289 15,615,868 7,807,934 3,903,967 11,711,902 5,855,951 17,567,854 8,783,927 26,351,782 13,175,891 39,527,674 19,763,837 59,291,512 29,645,756 14,822,878 7,411,439 22,234,318 11,117,159 33,351,478 16,675,739 50,027,218 25,013,609 75,040,828 37,520,414 18,760,207 56,280,622 28,140,311 84,420,934 42,210,467 126,631,402 63,315,701 189,947,104 94,973,552 47,486,776 23,743,388 11,871,694 5,935,847 17,807,542 8,903,771 26,711,314 13,355,657 40,066,972 20,033,486 10,016,743 30,050,230 15,025,115 45,075,346 22,537,673 67,613,020 33,806,510 16,903,255 50,709,766 25,354,883

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