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Atlas › Integer Profiles › Node 7,103,364

7,103,364

22 × 3 × 59 × 79 × 127
Abundant Even Composite

Prime Factor Structure

Factorization String 2^2 × 3 × 59 × 79 × 127
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 17,203,200
Proper Divisor Sum 10,099,836
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #7103363 ← → #7103387

Radix Representation

Decimal 7103364
Binary 11011000110001110000100 (23 bits)
Octal 0o33061604
Hexadecimal 0x6C6384

Divisor Catalog (48)

1 2 3 4 6 12 59 79 118 127 158 177 236 237 254 316 354 381 474 508 708 762 948 1,524 4,661 7,493 9,322 10,033 13,983 14,986 18,644 20,066 22,479 27,966 29,972 30,099 40,132 44,958 55,932 60,198 89,916 120,396 591,947 1,183,894 1,775,841 2,367,788 3,551,682 7,103,364

Collatz Trajectory (222 steps to reach 1)

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

7,103,364 3,551,682 1,775,841 5,327,524 2,663,762 1,331,881 3,995,644 1,997,822 998,911 2,996,734 1,498,367 4,495,102 2,247,551 6,742,654 3,371,327 10,113,982 5,056,991 15,170,974 7,585,487 22,756,462 11,378,231 34,134,694 17,067,347 51,202,042 25,601,021 76,803,064 38,401,532 19,200,766 9,600,383 28,801,150 14,400,575 43,201,726 21,600,863 64,802,590 32,401,295 97,203,886 48,601,943 145,805,830 72,902,915 218,708,746 109,354,373 328,063,120 164,031,560 82,015,780 41,007,890 20,503,945 61,511,836 30,755,918 15,377,959 46,133,878 23,066,939 69,200,818 34,600,409 103,801,228 51,900,614 25,950,307 77,850,922 38,925,461 116,776,384 58,388,192

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