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2,174,175

33 × 52 × 3221
Deficient Odd Composite

2,174,175 factors as 3^3 × 5^2 × 3221. Its 24 positive divisors give a proper-divisor sum of 1,821,105, so this integer is deficient. The Collatz stopping time is 210 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 3221
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 3,995,280
Proper Divisor Sum 1,821,105
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #2174171 ← → #2174197

Radix Representation

Decimal 2174175
Binary 1000010010110011011111 (22 bits)
Octal 0o10226337
Hexadecimal 0x212CDF

Divisor Catalog (24)

1 3 5 9 15 25 27 45 75 135 225 675 3,221 9,663 16,105 28,989 48,315 80,525 86,967 144,945 241,575 434,835 724,725 2,174,175

Collatz Trajectory (210 steps to reach 1)

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

2,174,175 6,522,526 3,261,263 9,783,790 4,891,895 14,675,686 7,337,843 22,013,530 11,006,765 33,020,296 16,510,148 8,255,074 4,127,537 12,382,612 6,191,306 3,095,653 9,286,960 4,643,480 2,321,740 1,160,870 580,435 1,741,306 870,653 2,611,960 1,305,980 652,990 326,495 979,486 489,743 1,469,230 734,615 2,203,846 1,101,923 3,305,770 1,652,885 4,958,656 2,479,328 1,239,664 619,832 309,916 154,958 77,479 232,438 116,219 348,658 174,329 522,988 261,494 130,747 392,242 196,121 588,364 294,182 147,091 441,274 220,637 661,912 330,956 165,478 82,739

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