7,443,527

7 × 13 × 157 × 521

7,443,527 factors as 7 × 13 × 157 × 521. Its 16 positive divisors give a proper-divisor sum of 1,793,785, so this integer is deficient. The Collatz stopping time is 160 steps.

Prime Factor Structure

Factorization String 7 × 13 × 157 × 521

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 9,237,312

Proper Divisor Sum 1,793,785

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7443493 ← → #7443539

Radix Representation

Decimal	7443527
Binary	11100011001010001000111 (23 bits)
Octal	0o34312107
Hexadecimal	0x719447

Divisor Catalog (16)

1 7 13 91 157 521 1,099 2,041 3,647 6,773 14,287 47,411 81,797 572,579 1,063,361 7,443,527

Collatz Trajectory (160 steps to reach 1)

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

7,443,527 22,330,582 11,165,291 33,495,874 16,747,937 50,243,812 25,121,906 12,560,953 37,682,860 18,841,430 9,420,715 28,262,146 14,131,073 42,393,220 21,196,610 10,598,305 31,794,916 15,897,458 7,948,729 23,846,188 11,923,094 5,961,547 17,884,642 8,942,321 26,826,964 13,413,482 6,706,741 20,120,224 10,060,112 5,030,056 2,515,028 1,257,514 628,757 1,886,272 943,136 471,568 235,784 117,892 58,946 29,473 88,420 44,210 22,105 66,316 33,158 16,579 49,738 24,869 74,608 37,304 18,652 9,326 4,663 13,990 6,995 20,986 10,493 31,480 15,740 7,870

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