λ
Ratio Atlas
Atlas › Integer Profiles › Node 8,005,184

8,005,184

26 × 11 × 83 × 137
Abundant Even Composite

8,005,184 factors as 2^6 × 11 × 83 × 137. Its 56 positive divisors give a proper-divisor sum of 9,661,024, so this integer is abundant. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 2^6 × 11 × 83 × 137
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 17,666,208
Proper Divisor Sum 9,661,024
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #8005183 ← → #8005187

Radix Representation

Decimal 8005184
Binary 11110100010011001000000 (23 bits)
Octal 0o36423100
Hexadecimal 0x7A2640

Divisor Catalog (56)

1 2 4 8 11 16 22 32 44 64 83 88 137 166 176 274 332 352 548 664 704 913 1,096 1,328 1,507 1,826 2,192 2,656 3,014 3,652 4,384 5,312 6,028 7,304 8,768 11,371 12,056 14,608 22,742 24,112 29,216 45,484 48,224 58,432 90,968 96,448 125,081 181,936 250,162 363,872 500,324 727,744 1,000,648 2,001,296 4,002,592 8,005,184

Collatz Trajectory (98 steps to reach 1)

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

8,005,184 4,002,592 2,001,296 1,000,648 500,324 250,162 125,081 375,244 187,622 93,811 281,434 140,717 422,152 211,076 105,538 52,769 158,308 79,154 39,577 118,732 59,366 29,683 89,050 44,525 133,576 66,788 33,394 16,697 50,092 25,046 12,523 37,570 18,785 56,356 28,178 14,089 42,268 21,134 10,567 31,702 15,851 47,554 23,777 71,332 35,666 17,833 53,500 26,750 13,375 40,126 20,063 60,190 30,095 90,286 45,143 135,430 67,715 203,146 101,573 304,720

More profiles

Browse other published profiles and their separate link collections.

Profile #8,342,168 Profile #1,146,956 Profile #9,712,347 Profile #6,573,969 Profile #965,653 Profile #4,620,983 Profile #853,259 Profile #1,288,150
← Previous Integer #8,005,183 Browse Full Index Next Integer #8,005,185 →