λ
Match Zalai

8,310,580

22 × 5 × 193 × 2153
Abundant Even Composite

8,310,580 factors as 2^2 × 5 × 193 × 2153. Its 24 positive divisors give a proper-divisor sum of 9,240,212, so this integer is abundant. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 193 × 2153
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 17,550,792
Proper Divisor Sum 9,240,212
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8310551 ← → #8310593

Radix Representation

Decimal 8310580
Binary 11111101100111100110100 (23 bits)
Octal 0o37547464
Hexadecimal 0x7ECF34

Divisor Catalog (24)

1 2 4 5 10 20 193 386 772 965 1,930 2,153 3,860 4,306 8,612 10,765 21,530 43,060 415,529 831,058 1,662,116 2,077,645 4,155,290 8,310,580

Collatz Trajectory (155 steps to reach 1)

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

8,310,580 4,155,290 2,077,645 6,232,936 3,116,468 1,558,234 779,117 2,337,352 1,168,676 584,338 292,169 876,508 438,254 219,127 657,382 328,691 986,074 493,037 1,479,112 739,556 369,778 184,889 554,668 277,334 138,667 416,002 208,001 624,004 312,002 156,001 468,004 234,002 117,001 351,004 175,502 87,751 263,254 131,627 394,882 197,441 592,324 296,162 148,081 444,244 222,122 111,061 333,184 166,592 83,296 41,648 20,824 10,412 5,206 2,603 7,810 3,905 11,716 5,858 2,929 8,788

More profiles

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