220,005

3² × 5 × 4889

For 220,005, the 12 positive divisors have a total of 381,420. Removing 220,005 leaves 161,415, which gives the deficient classification.

Prime Factor Structure

Factorization String 3^2 × 5 × 4889

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 381,420

Proper Divisor Sum 161,415

Digit Sum / Digital Root 9 (Root: 9)

Adjacent Primes #219983 ← → #220009

Radix Representation

Decimal	220005
Binary	110101101101100101 (18 bits)
Octal	0o655545
Hexadecimal	0x35B65

Divisor Catalog (12)

1 3 5 9 15 45 4,889 14,667 24,445 44,001 73,335 220,005

Collatz Trajectory (93 steps to reach 1)

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

220,005 660,016 330,008 165,004 82,502 41,251 123,754 61,877 185,632 92,816 46,408 23,204 11,602 5,801 17,404 8,702 4,351 13,054 6,527 19,582 9,791 29,374 14,687 44,062 22,031 66,094 33,047 99,142 49,571 148,714 74,357 223,072 111,536 55,768 27,884 13,942 6,971 20,914 10,457 31,372 15,686 7,843 23,530 11,765 35,296 17,648 8,824 4,412 2,206 1,103 3,310 1,655 4,966 2,483 7,450 3,725 11,176 5,588 2,794 1,397

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