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7,204,275

33 × 52 × 13 × 821
Deficient Odd Composite

7,204,275 factors as 3^3 × 5^2 × 13 × 821. Its 48 positive divisors give a proper-divisor sum of 7,065,645, so this integer is deficient. The Collatz stopping time is 235 steps.

Prime Factor Structure

Factorization String 3^3 × 5^2 × 13 × 821
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 14,269,920
Proper Divisor Sum 7,065,645
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #7204273 ← → #7204279

Radix Representation

Decimal 7204275
Binary 11011011110110110110011 (23 bits)
Octal 0o33366663
Hexadecimal 0x6DEDB3

Divisor Catalog (48)

1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 821 975 1,755 2,463 2,925 4,105 7,389 8,775 10,673 12,315 20,525 22,167 32,019 36,945 53,365 61,575 96,057 110,835 160,095 184,725 266,825 288,171 480,285 554,175 800,475 1,440,855 2,401,425 7,204,275

Collatz Trajectory (235 steps to reach 1)

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

7,204,275 21,612,826 10,806,413 32,419,240 16,209,620 8,104,810 4,052,405 12,157,216 6,078,608 3,039,304 1,519,652 759,826 379,913 1,139,740 569,870 284,935 854,806 427,403 1,282,210 641,105 1,923,316 961,658 480,829 1,442,488 721,244 360,622 180,311 540,934 270,467 811,402 405,701 1,217,104 608,552 304,276 152,138 76,069 228,208 114,104 57,052 28,526 14,263 42,790 21,395 64,186 32,093 96,280 48,140 24,070 12,035 36,106 18,053 54,160 27,080 13,540 6,770 3,385 10,156 5,078 2,539 7,618

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