λ
Prime Ledger

8,162,104

23 × 197 × 5179
Deficient Even Composite

8,162,104 has the prime decomposition 2^3 × 197 × 5179. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 197 × 5179
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 15,384,600
Proper Divisor Sum 7,222,496
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8162081 ← → #8162111

Radix Representation

Decimal 8162104
Binary 11111001000101100111000 (23 bits)
Octal 0o37105470
Hexadecimal 0x7C8B38

Divisor Catalog (16)

1 2 4 8 197 394 788 1,576 5,179 10,358 20,716 41,432 1,020,263 2,040,526 4,081,052 8,162,104

Collatz Trajectory (230 steps to reach 1)

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

8,162,104 4,081,052 2,040,526 1,020,263 3,060,790 1,530,395 4,591,186 2,295,593 6,886,780 3,443,390 1,721,695 5,165,086 2,582,543 7,747,630 3,873,815 11,621,446 5,810,723 17,432,170 8,716,085 26,148,256 13,074,128 6,537,064 3,268,532 1,634,266 817,133 2,451,400 1,225,700 612,850 306,425 919,276 459,638 229,819 689,458 344,729 1,034,188 517,094 258,547 775,642 387,821 1,163,464 581,732 290,866 145,433 436,300 218,150 109,075 327,226 163,613 490,840 245,420 122,710 61,355 184,066 92,033 276,100 138,050 69,025 207,076 103,538 51,769

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