λ
Prime Ledger

8,007,055

5 × 7 × 228773
Deficient Odd Composite

8,007,055 has the prime decomposition 5 × 7 × 228773. Its 3 distinct prime factors produce 8 positive divisors.

Prime Factor Structure

Factorization String 5 × 7 × 228773
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 10,981,152
Proper Divisor Sum 2,974,097
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #8007053 ← → #8007071

Radix Representation

Decimal 8007055
Binary 11110100010110110001111 (23 bits)
Octal 0o36426617
Hexadecimal 0x7A2D8F

Divisor Catalog (8)

1 5 7 35 228,773 1,143,865 1,601,411 8,007,055

Collatz Trajectory (93 steps to reach 1)

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

8,007,055 24,021,166 12,010,583 36,031,750 18,015,875 54,047,626 27,023,813 81,071,440 40,535,720 20,267,860 10,133,930 5,066,965 15,200,896 7,600,448 3,800,224 1,900,112 950,056 475,028 237,514 118,757 356,272 178,136 89,068 44,534 22,267 66,802 33,401 100,204 50,102 25,051 75,154 37,577 112,732 56,366 28,183 84,550 42,275 126,826 63,413 190,240 95,120 47,560 23,780 11,890 5,945 17,836 8,918 4,459 13,378 6,689 20,068 10,034 5,017 15,052 7,526 3,763 11,290 5,645 16,936 8,468

More profiles

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