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Atlas › Integer Profiles › Node 8,185,160

8,185,160

23 × 5 × 17 × 12037
Abundant Even Composite

8,185,160 factors as 2^3 × 5 × 17 × 12037. Its 32 positive divisors give a proper-divisor sum of 11,316,400, so this integer is abundant. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 2^3 × 5 × 17 × 12037
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 19,501,560
Proper Divisor Sum 11,316,400
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #8185159 ← → #8185169

Radix Representation

Decimal 8185160
Binary 11111001110010101001000 (23 bits)
Octal 0o37162510
Hexadecimal 0x7CE548

Divisor Catalog (32)

1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 12,037 24,074 48,148 60,185 96,296 120,370 204,629 240,740 409,258 481,480 818,516 1,023,145 1,637,032 2,046,290 4,092,580 8,185,160

Collatz Trajectory (199 steps to reach 1)

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

8,185,160 4,092,580 2,046,290 1,023,145 3,069,436 1,534,718 767,359 2,302,078 1,151,039 3,453,118 1,726,559 5,179,678 2,589,839 7,769,518 3,884,759 11,654,278 5,827,139 17,481,418 8,740,709 26,222,128 13,111,064 6,555,532 3,277,766 1,638,883 4,916,650 2,458,325 7,374,976 3,687,488 1,843,744 921,872 460,936 230,468 115,234 57,617 172,852 86,426 43,213 129,640 64,820 32,410 16,205 48,616 24,308 12,154 6,077 18,232 9,116 4,558 2,279 6,838 3,419 10,258 5,129 15,388 7,694 3,847 11,542 5,771 17,314 8,657

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