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Modular Archive

42,193

42193
Deficient Odd Prime

The decimal integer 42,193 is 1010010011010001 in binary (16 bits), 122321 in octal and A4D1 in hexadecimal. Its digit sum is 19.

Prime Factor Structure

Factorization String 42193
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 42,194
Proper Divisor Sum 1
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #42187 ← → #42197

Radix Representation

Decimal 42193
Binary 1010010011010001 (16 bits)
Octal 0o122321
Hexadecimal 0xA4D1

Divisor Catalog (2)

1 42,193

Collatz Trajectory (80 steps to reach 1)

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

42,193 126,580 63,290 31,645 94,936 47,468 23,734 11,867 35,602 17,801 53,404 26,702 13,351 40,054 20,027 60,082 30,041 90,124 45,062 22,531 67,594 33,797 101,392 50,696 25,348 12,674 6,337 19,012 9,506 4,753 14,260 7,130 3,565 10,696 5,348 2,674 1,337 4,012 2,006 1,003 3,010 1,505 4,516 2,258 1,129 3,388 1,694 847 2,542 1,271 3,814 1,907 5,722 2,861 8,584 4,292 2,146 1,073 3,220 1,610

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