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7,526,720

26 × 5 × 43 × 547
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 5 × 43 × 547
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 18,373,344
Proper Divisor Sum 10,846,624
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #7526683 ← → #7526749

Radix Representation

Decimal 7526720
Binary 11100101101100101000000 (23 bits)
Octal 0o34554500
Hexadecimal 0x72D940

Divisor Catalog (56)

1 2 4 5 8 10 16 20 32 40 43 64 80 86 160 172 215 320 344 430 547 688 860 1,094 1,376 1,720 2,188 2,735 2,752 3,440 4,376 5,470 6,880 8,752 10,940 13,760 17,504 21,880 23,521 35,008 43,760 47,042 87,520 94,084 117,605 175,040 188,168 235,210 376,336 470,420 752,672 940,840 1,505,344 1,881,680 3,763,360 7,526,720

Collatz Trajectory (173 steps to reach 1)

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

7,526,720 3,763,360 1,881,680 940,840 470,420 235,210 117,605 352,816 176,408 88,204 44,102 22,051 66,154 33,077 99,232 49,616 24,808 12,404 6,202 3,101 9,304 4,652 2,326 1,163 3,490 1,745 5,236 2,618 1,309 3,928 1,964 982 491 1,474 737 2,212 1,106 553 1,660 830 415 1,246 623 1,870 935 2,806 1,403 4,210 2,105 6,316 3,158 1,579 4,738 2,369 7,108 3,554 1,777 5,332 2,666 1,333

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