λ
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Atlas › Integer Profiles › Node 8,346,260

8,346,260

22 × 5 × 13 × 47 × 683
Abundant Even Composite

8,346,260 factors as 2^2 × 5 × 13 × 47 × 683. Its 48 positive divisors give a proper-divisor sum of 10,958,956, so this integer is abundant. The Collatz stopping time is 137 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 13 × 47 × 683
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,305,216
Proper Divisor Sum 10,958,956
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8346253 ← → #8346311

Radix Representation

Decimal 8346260
Binary 11111110101101010010100 (23 bits)
Octal 0o37655224
Hexadecimal 0x7F5A94

Divisor Catalog (48)

1 2 4 5 10 13 20 26 47 52 65 94 130 188 235 260 470 611 683 940 1,222 1,366 2,444 2,732 3,055 3,415 6,110 6,830 8,879 12,220 13,660 17,758 32,101 35,516 44,395 64,202 88,790 128,404 160,505 177,580 321,010 417,313 642,020 834,626 1,669,252 2,086,565 4,173,130 8,346,260

Collatz Trajectory (137 steps to reach 1)

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

8,346,260 4,173,130 2,086,565 6,259,696 3,129,848 1,564,924 782,462 391,231 1,173,694 586,847 1,760,542 880,271 2,640,814 1,320,407 3,961,222 1,980,611 5,941,834 2,970,917 8,912,752 4,456,376 2,228,188 1,114,094 557,047 1,671,142 835,571 2,506,714 1,253,357 3,760,072 1,880,036 940,018 470,009 1,410,028 705,014 352,507 1,057,522 528,761 1,586,284 793,142 396,571 1,189,714 594,857 1,784,572 892,286 446,143 1,338,430 669,215 2,007,646 1,003,823 3,011,470 1,505,735 4,517,206 2,258,603 6,775,810 3,387,905 10,163,716 5,081,858 2,540,929 7,622,788 3,811,394 1,905,697

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