189,075

3 × 5² × 2521

189,075 is odd and not a perfect square. Its factorization is 3 × 5^2 × 2521 and its 12 divisors sum to 312,728.

Prime Factor Structure

Factorization String 3 × 5^2 × 2521

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 312,728

Proper Divisor Sum 123,653

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #189067 ← → #189127

Radix Representation

Decimal	189075
Binary	101110001010010011 (18 bits)
Octal	0o561223
Hexadecimal	0x2E293

Divisor Catalog (12)

1 3 5 15 25 75 2,521 7,563 12,605 37,815 63,025 189,075

Collatz Trajectory (116 steps to reach 1)

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

189,075 567,226 283,613 850,840 425,420 212,710 106,355 319,066 159,533 478,600 239,300 119,650 59,825 179,476 89,738 44,869 134,608 67,304 33,652 16,826 8,413 25,240 12,620 6,310 3,155 9,466 4,733 14,200 7,100 3,550 1,775 5,326 2,663 7,990 3,995 11,986 5,993 17,980 8,990 4,495 13,486 6,743 20,230 10,115 30,346 15,173 45,520 22,760 11,380 5,690 2,845 8,536 4,268 2,134 1,067 3,202 1,601 4,804 2,402 1,201

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