7,024,875

3 × 5³ × 11 × 13 × 131

7,024,875 is odd and not a perfect square. Its factorization is 3 × 5^3 × 11 × 13 × 131 and its 64 divisors sum to 13,837,824.

Prime Factor Structure

Factorization String 3 × 5^3 × 11 × 13 × 131

Distinct Prime Factors 5

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 64

Divisor Sum (σ) 13,837,824

Proper Divisor Sum 6,812,949

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #7024847 ← → #7024877

Radix Representation

Decimal	7024875
Binary	11010110011000011101011 (23 bits)
Octal	0o32630353
Hexadecimal	0x6B30EB

Divisor Catalog (60 of 64)

1 3 5 11 13 15 25 33 39 55 65 75 125 131 143 165 195 275 325 375 393 429 655 715 825 975 1,375 1,441 1,625 1,703 1,965 2,145 3,275 3,575 4,125 4,323 4,875 5,109 7,205 8,515 9,825 10,725 16,375 17,875 18,733 21,615 25,545 36,025 42,575 49,125 53,625 56,199 93,665 108,075 127,725 180,125 212,875 280,995 468,325 540,375

Collatz Trajectory (204 steps to reach 1)

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

7,024,875 21,074,626 10,537,313 31,611,940 15,805,970 7,902,985 23,708,956 11,854,478 5,927,239 17,781,718 8,890,859 26,672,578 13,336,289 40,008,868 20,004,434 10,002,217 30,006,652 15,003,326 7,501,663 22,504,990 11,252,495 33,757,486 16,878,743 50,636,230 25,318,115 75,954,346 37,977,173 113,931,520 56,965,760 28,482,880 14,241,440 7,120,720 3,560,360 1,780,180 890,090 445,045 1,335,136 667,568 333,784 166,892 83,446 41,723 125,170 62,585 187,756 93,878 46,939 140,818 70,409 211,228 105,614 52,807 158,422 79,211 237,634 118,817 356,452 178,226 89,113 267,340

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