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37,653,550

2 × 52 × 11 × 223 × 307
Abundant Even Composite

37,653,550 factors as 2 × 5^2 × 11 × 223 × 307. Its 48 positive divisors give a proper-divisor sum of 39,341,522, so this integer is abundant. The Collatz stopping time is 134 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 11 × 223 × 307
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 76,995,072
Proper Divisor Sum 39,341,522
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #37653541 ← → #37653569

Radix Representation

Decimal 37653550
Binary 10001111101000110000101110 (26 bits)
Octal 0o217506056
Hexadecimal 0x23E8C2E

Divisor Catalog (48)

1 2 5 10 11 22 25 50 55 110 223 275 307 446 550 614 1,115 1,535 2,230 2,453 3,070 3,377 4,906 5,575 6,754 7,675 11,150 12,265 15,350 16,885 24,530 33,770 61,325 68,461 84,425 122,650 136,922 168,850 342,305 684,610 753,071 1,506,142 1,711,525 3,423,050 3,765,355 7,530,710 18,826,775 37,653,550

Collatz Trajectory (134 steps to reach 1)

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

37,653,550 18,826,775 56,480,326 28,240,163 84,720,490 42,360,245 127,080,736 63,540,368 31,770,184 15,885,092 7,942,546 3,971,273 11,913,820 5,956,910 2,978,455 8,935,366 4,467,683 13,403,050 6,701,525 20,104,576 10,052,288 5,026,144 2,513,072 1,256,536 628,268 314,134 157,067 471,202 235,601 706,804 353,402 176,701 530,104 265,052 132,526 66,263 198,790 99,395 298,186 149,093 447,280 223,640 111,820 55,910 27,955 83,866 41,933 125,800 62,900 31,450 15,725 47,176 23,588 11,794 5,897 17,692 8,846 4,423 13,270 6,635

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