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6,810,072

23 × 3 × 37 × 7669
Abundant Even Composite

6,810,072 factors as 2^3 × 3 × 37 × 7669. Its 32 positive divisors give a proper-divisor sum of 10,677,528, so this integer is abundant. The Collatz stopping time is 178 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 37 × 7669
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 17,487,600
Proper Divisor Sum 10,677,528
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #6810071 ← → #6810073

Radix Representation

Decimal 6810072
Binary 11001111110100111011000 (23 bits)
Octal 0o31764730
Hexadecimal 0x67E9D8

Divisor Catalog (32)

1 2 3 4 6 8 12 24 37 74 111 148 222 296 444 888 7,669 15,338 23,007 30,676 46,014 61,352 92,028 184,056 283,753 567,506 851,259 1,135,012 1,702,518 2,270,024 3,405,036 6,810,072

Collatz Trajectory (178 steps to reach 1)

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

6,810,072 3,405,036 1,702,518 851,259 2,553,778 1,276,889 3,830,668 1,915,334 957,667 2,873,002 1,436,501 4,309,504 2,154,752 1,077,376 538,688 269,344 134,672 67,336 33,668 16,834 8,417 25,252 12,626 6,313 18,940 9,470 4,735 14,206 7,103 21,310 10,655 31,966 15,983 47,950 23,975 71,926 35,963 107,890 53,945 161,836 80,918 40,459 121,378 60,689 182,068 91,034 45,517 136,552 68,276 34,138 17,069 51,208 25,604 12,802 6,401 19,204 9,602 4,801 14,404 7,202

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