λ
Prime Ledger

4,422,715

5 × 11 × 97 × 829
Deficient Odd Composite

4,422,715 has the prime decomposition 5 × 11 × 97 × 829. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 5 × 11 × 97 × 829
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 5,856,480
Proper Divisor Sum 1,433,765
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4422673 ← → #4422749

Radix Representation

Decimal 4422715
Binary 10000110111110000111011 (23 bits)
Octal 0o20676073
Hexadecimal 0x437C3B

Divisor Catalog (16)

1 5 11 55 97 485 829 1,067 4,145 5,335 9,119 45,595 80,413 402,065 884,543 4,422,715

Collatz Trajectory (74 steps to reach 1)

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

4,422,715 13,268,146 6,634,073 19,902,220 9,951,110 4,975,555 14,926,666 7,463,333 22,390,000 11,195,000 5,597,500 2,798,750 1,399,375 4,198,126 2,099,063 6,297,190 3,148,595 9,445,786 4,722,893 14,168,680 7,084,340 3,542,170 1,771,085 5,313,256 2,656,628 1,328,314 664,157 1,992,472 996,236 498,118 249,059 747,178 373,589 1,120,768 560,384 280,192 140,096 70,048 35,024 17,512 8,756 4,378 2,189 6,568 3,284 1,642 821 2,464 1,232 616 308 154 77 232 116 58 29 88 44 22

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