7,018,375

5³ × 7 × 13 × 617

7,018,375 factors as 5^3 × 7 × 13 × 617. Its 32 positive divisors give a proper-divisor sum of 3,779,321, so this integer is deficient. The Collatz stopping time is 240 steps.

Prime Factor Structure

Factorization String 5^3 × 7 × 13 × 617

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 10,797,696

Proper Divisor Sum 3,779,321

Digit Sum / Digital Root 31 (Root: 4)

Adjacent Primes #7018367 ← → #7018379

Radix Representation

Decimal	7018375
Binary	11010110001011110000111 (23 bits)
Octal	0o32613607
Hexadecimal	0x6B1787

Divisor Catalog (32)

1 5 7 13 25 35 65 91 125 175 325 455 617 875 1,625 2,275 3,085 4,319 8,021 11,375 15,425 21,595 40,105 56,147 77,125 107,975 200,525 280,735 539,875 1,002,625 1,403,675 7,018,375

Collatz Trajectory (240 steps to reach 1)

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

7,018,375 21,055,126 10,527,563 31,582,690 15,791,345 47,374,036 23,687,018 11,843,509 35,530,528 17,765,264 8,882,632 4,441,316 2,220,658 1,110,329 3,330,988 1,665,494 832,747 2,498,242 1,249,121 3,747,364 1,873,682 936,841 2,810,524 1,405,262 702,631 2,107,894 1,053,947 3,161,842 1,580,921 4,742,764 2,371,382 1,185,691 3,557,074 1,778,537 5,335,612 2,667,806 1,333,903 4,001,710 2,000,855 6,002,566 3,001,283 9,003,850 4,501,925 13,505,776 6,752,888 3,376,444 1,688,222 844,111 2,532,334 1,266,167 3,798,502 1,899,251 5,697,754 2,848,877 8,546,632 4,273,316 2,136,658 1,068,329 3,204,988 1,602,494

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