λ
Modular Archive

422,775

32 × 52 × 1879
Deficient Odd Composite

The decimal integer 422,775 is 1100111001101110111 in binary (19 bits), 1471567 in octal and 67377 in hexadecimal. Its digit sum is 27.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 1879
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 757,640
Proper Divisor Sum 334,865
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #422761 ← → #422789

Radix Representation

Decimal 422775
Binary 1100111001101110111 (19 bits)
Octal 0o1471567
Hexadecimal 0x67377

Divisor Catalog (18)

1 3 5 9 15 25 45 75 225 1,879 5,637 9,395 16,911 28,185 46,975 84,555 140,925 422,775

Collatz Trajectory (130 steps to reach 1)

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

422,775 1,268,326 634,163 1,902,490 951,245 2,853,736 1,426,868 713,434 356,717 1,070,152 535,076 267,538 133,769 401,308 200,654 100,327 300,982 150,491 451,474 225,737 677,212 338,606 169,303 507,910 253,955 761,866 380,933 1,142,800 571,400 285,700 142,850 71,425 214,276 107,138 53,569 160,708 80,354 40,177 120,532 60,266 30,133 90,400 45,200 22,600 11,300 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683

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