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Atlas › Integer Profiles › Node 1,822,014

1,822,014

2 × 35 × 23 × 163
Abundant Even Composite

Prime Factor Structure

Factorization String 2 × 3^5 × 23 × 163
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 4,298,112
Proper Divisor Sum 2,476,098
Digit Sum / Digital Root 18 (Root: 9)
Adjacent Primes #1822013 ← → #1822019

Radix Representation

Decimal 1822014
Binary 110111100110100111110 (21 bits)
Octal 0o6746476
Hexadecimal 0x1BCD3E

Divisor Catalog (48)

1 2 3 6 9 18 23 27 46 54 69 81 138 162 163 207 243 326 414 486 489 621 978 1,242 1,467 1,863 2,934 3,726 3,749 4,401 5,589 7,498 8,802 11,178 11,247 13,203 22,494 26,406 33,741 39,609 67,482 79,218 101,223 202,446 303,669 607,338 911,007 1,822,014

Collatz Trajectory (233 steps to reach 1)

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

1,822,014 911,007 2,733,022 1,366,511 4,099,534 2,049,767 6,149,302 3,074,651 9,223,954 4,611,977 13,835,932 6,917,966 3,458,983 10,376,950 5,188,475 15,565,426 7,782,713 23,348,140 11,674,070 5,837,035 17,511,106 8,755,553 26,266,660 13,133,330 6,566,665 19,699,996 9,849,998 4,924,999 14,774,998 7,387,499 22,162,498 11,081,249 33,243,748 16,621,874 8,310,937 24,932,812 12,466,406 6,233,203 18,699,610 9,349,805 28,049,416 14,024,708 7,012,354 3,506,177 10,518,532 5,259,266 2,629,633 7,888,900 3,944,450 1,972,225 5,916,676 2,958,338 1,479,169 4,437,508 2,218,754 1,109,377 3,328,132 1,664,066 832,033 2,496,100

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