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5,288,706

2 × 33 × 37 × 2647
Abundant Even Composite

5,288,706 factors as 2 × 3^3 × 37 × 2647. Its 32 positive divisors give a proper-divisor sum of 6,786,174, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2 × 3^3 × 37 × 2647
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 12,074,880
Proper Divisor Sum 6,786,174
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #5288687 ← → #5288747

Radix Representation

Decimal 5288706
Binary 10100001011001100000010 (23 bits)
Octal 0o24131402
Hexadecimal 0x50B302

Divisor Catalog (32)

1 2 3 6 9 18 27 37 54 74 111 222 333 666 999 1,998 2,647 5,294 7,941 15,882 23,823 47,646 71,469 97,939 142,938 195,878 293,817 587,634 881,451 1,762,902 2,644,353 5,288,706

Collatz Trajectory (175 steps to reach 1)

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

5,288,706 2,644,353 7,933,060 3,966,530 1,983,265 5,949,796 2,974,898 1,487,449 4,462,348 2,231,174 1,115,587 3,346,762 1,673,381 5,020,144 2,510,072 1,255,036 627,518 313,759 941,278 470,639 1,411,918 705,959 2,117,878 1,058,939 3,176,818 1,588,409 4,765,228 2,382,614 1,191,307 3,573,922 1,786,961 5,360,884 2,680,442 1,340,221 4,020,664 2,010,332 1,005,166 502,583 1,507,750 753,875 2,261,626 1,130,813 3,392,440 1,696,220 848,110 424,055 1,272,166 636,083 1,908,250 954,125 2,862,376 1,431,188 715,594 357,797 1,073,392 536,696 268,348 134,174 67,087 201,262

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