110,061

3² × 7 × 1747

For 110,061, the 12 positive divisors have a total of 181,792. Removing 110,061 leaves 71,731, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 7 × 1747

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 181,792

Proper Divisor Sum 71,731

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #110059 ← → #110063

Radix Representation

Decimal	110061
Binary	11010110111101101 (17 bits)
Octal	0o326755
Hexadecimal	0x1ADED

Divisor Catalog (12)

1 3 7 9 21 63 1,747 5,241 12,229 15,723 36,687 110,061

Collatz Trajectory (167 steps to reach 1)

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

110,061 330,184 165,092 82,546 41,273 123,820 61,910 30,955 92,866 46,433 139,300 69,650 34,825 104,476 52,238 26,119 78,358 39,179 117,538 58,769 176,308 88,154 44,077 132,232 66,116 33,058 16,529 49,588 24,794 12,397 37,192 18,596 9,298 4,649 13,948 6,974 3,487 10,462 5,231 15,694 7,847 23,542 11,771 35,314 17,657 52,972 26,486 13,243 39,730 19,865 59,596 29,798 14,899 44,698 22,349 67,048 33,524 16,762 8,381 25,144

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