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Atlas › Integer Profiles › Node 6,163,000

6,163,000

23 × 53 × 6163
Abundant Even Composite

6,163,000 factors as 2^3 × 5^3 × 6163. Its 32 positive divisors give a proper-divisor sum of 8,260,760, so this integer is abundant. The Collatz stopping time is 165 steps.

Prime Factor Structure

Factorization String 2^3 × 5^3 × 6163
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 14,423,760
Proper Divisor Sum 8,260,760
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #6162943 ← → #6163007

Radix Representation

Decimal 6163000
Binary 10111100000101000111000 (23 bits)
Octal 0o27405070
Hexadecimal 0x5E0A38

Divisor Catalog (32)

1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1,000 6,163 12,326 24,652 30,815 49,304 61,630 123,260 154,075 246,520 308,150 616,300 770,375 1,232,600 1,540,750 3,081,500 6,163,000

Collatz Trajectory (165 steps to reach 1)

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

6,163,000 3,081,500 1,540,750 770,375 2,311,126 1,155,563 3,466,690 1,733,345 5,200,036 2,600,018 1,300,009 3,900,028 1,950,014 975,007 2,925,022 1,462,511 4,387,534 2,193,767 6,581,302 3,290,651 9,871,954 4,935,977 14,807,932 7,403,966 3,701,983 11,105,950 5,552,975 16,658,926 8,329,463 24,988,390 12,494,195 37,482,586 18,741,293 56,223,880 28,111,940 14,055,970 7,027,985 21,083,956 10,541,978 5,270,989 15,812,968 7,906,484 3,953,242 1,976,621 5,929,864 2,964,932 1,482,466 741,233 2,223,700 1,111,850 555,925 1,667,776 833,888 416,944 208,472 104,236 52,118 26,059 78,178 39,089

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