42,055

5 × 13 × 647

For 42,055, the 8 positive divisors have a total of 54,432. Removing 42,055 leaves 12,377, which gives the deficient classification.

Prime Factor Structure

Factorization String 5 × 13 × 647

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 54,432

Proper Divisor Sum 12,377

Digit Sum / Digital Root 16 (Root: 7)

Adjacent Primes #42043 ← → #42061

Radix Representation

Decimal	42055
Binary	1010010001000111 (16 bits)
Octal	0o122107
Hexadecimal	0xA447

Divisor Catalog (8)

1 5 13 65 647 3,235 8,411 42,055

Collatz Trajectory (119 steps to reach 1)

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

42,055 126,166 63,083 189,250 94,625 283,876 141,938 70,969 212,908 106,454 53,227 159,682 79,841 239,524 119,762 59,881 179,644 89,822 44,911 134,734 67,367 202,102 101,051 303,154 151,577 454,732 227,366 113,683 341,050 170,525 511,576 255,788 127,894 63,947 191,842 95,921 287,764 143,882 71,941 215,824 107,912 53,956 26,978 13,489 40,468 20,234 10,117 30,352 15,176 7,588 3,794 1,897 5,692 2,846 1,423 4,270 2,135 6,406 3,203 9,610

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