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Atlas › Integer Profiles › Node 5,084,926

5,084,926

2 × 72 × 11 × 53 × 89
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7^2 × 11 × 53 × 89
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 9,972,720
Proper Divisor Sum 4,887,794
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #5084917 ← → #5084927

Radix Representation

Decimal 5084926
Binary 10011011001011011111110 (23 bits)
Octal 0o23313376
Hexadecimal 0x4D96FE

Divisor Catalog (48)

1 2 7 11 14 22 49 53 77 89 98 106 154 178 371 539 583 623 742 979 1,078 1,166 1,246 1,958 2,597 4,081 4,361 4,717 5,194 6,853 8,162 8,722 9,434 13,706 28,567 33,019 47,971 51,887 57,134 66,038 95,942 103,774 231,133 363,209 462,266 726,418 2,542,463 5,084,926

Collatz Trajectory (250 steps to reach 1)

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

5,084,926 2,542,463 7,627,390 3,813,695 11,441,086 5,720,543 17,161,630 8,580,815 25,742,446 12,871,223 38,613,670 19,306,835 57,920,506 28,960,253 86,880,760 43,440,380 21,720,190 10,860,095 32,580,286 16,290,143 48,870,430 24,435,215 73,305,646 36,652,823 109,958,470 54,979,235 164,937,706 82,468,853 247,406,560 123,703,280 61,851,640 30,925,820 15,462,910 7,731,455 23,194,366 11,597,183 34,791,550 17,395,775 52,187,326 26,093,663 78,280,990 39,140,495 117,421,486 58,710,743 176,132,230 88,066,115 264,198,346 132,099,173 396,297,520 198,148,760 99,074,380 49,537,190 24,768,595 74,305,786 37,152,893 111,458,680 55,729,340 27,864,670 13,932,335 41,797,006

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