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Atlas › Integer Profiles › Node 7,103,496

7,103,496

23 × 3 × 41 × 7219
Abundant Even Composite

7,103,496 factors as 2^3 × 3 × 41 × 7219. Its 32 positive divisors give a proper-divisor sum of 11,090,904, so this integer is abundant. The Collatz stopping time is 266 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 41 × 7219
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 18,194,400
Proper Divisor Sum 11,090,904
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #7103489 ← → #7103497

Radix Representation

Decimal 7103496
Binary 11011000110010000001000 (23 bits)
Octal 0o33062010
Hexadecimal 0x6C6408

Divisor Catalog (32)

1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 7,219 14,438 21,657 28,876 43,314 57,752 86,628 173,256 295,979 591,958 887,937 1,183,916 1,775,874 2,367,832 3,551,748 7,103,496

Collatz Trajectory (266 steps to reach 1)

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

7,103,496 3,551,748 1,775,874 887,937 2,663,812 1,331,906 665,953 1,997,860 998,930 499,465 1,498,396 749,198 374,599 1,123,798 561,899 1,685,698 842,849 2,528,548 1,264,274 632,137 1,896,412 948,206 474,103 1,422,310 711,155 2,133,466 1,066,733 3,200,200 1,600,100 800,050 400,025 1,200,076 600,038 300,019 900,058 450,029 1,350,088 675,044 337,522 168,761 506,284 253,142 126,571 379,714 189,857 569,572 284,786 142,393 427,180 213,590 106,795 320,386 160,193 480,580 240,290 120,145 360,436 180,218 90,109 270,328

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