λ
Prime Ledger

8,055,672

23 × 3 × 335653
Abundant Even Composite

8,055,672 has the prime decomposition 2^3 × 3 × 335653. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 335653
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 20,139,240
Proper Divisor Sum 12,083,568
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #8055661 ← → #8055673

Radix Representation

Decimal 8055672
Binary 11110101110101101111000 (23 bits)
Octal 0o36565570
Hexadecimal 0x7AEB78

Divisor Catalog (16)

1 2 3 4 6 8 12 24 335,653 671,306 1,006,959 1,342,612 2,013,918 2,685,224 4,027,836 8,055,672

Collatz Trajectory (186 steps to reach 1)

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

8,055,672 4,027,836 2,013,918 1,006,959 3,020,878 1,510,439 4,531,318 2,265,659 6,796,978 3,398,489 10,195,468 5,097,734 2,548,867 7,646,602 3,823,301 11,469,904 5,734,952 2,867,476 1,433,738 716,869 2,150,608 1,075,304 537,652 268,826 134,413 403,240 201,620 100,810 50,405 151,216 75,608 37,804 18,902 9,451 28,354 14,177 42,532 21,266 10,633 31,900 15,950 7,975 23,926 11,963 35,890 17,945 53,836 26,918 13,459 40,378 20,189 60,568 30,284 15,142 7,571 22,714 11,357 34,072 17,036 8,518

More profiles

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