7,112,975

5² × 29 × 9811

7,112,975 factors as 5^2 × 29 × 9811. Its 12 positive divisors give a proper-divisor sum of 2,012,185, so this integer is deficient. The Collatz stopping time is 98 steps.

Prime Factor Structure

Factorization String 5^2 × 29 × 9811

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 9,125,160

Proper Divisor Sum 2,012,185

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #7112951 ← → #7112983

Radix Representation

Decimal	7112975
Binary	11011001000100100001111 (23 bits)
Octal	0o33104417
Hexadecimal	0x6C890F

Divisor Catalog (12)

1 5 25 29 145 725 9,811 49,055 245,275 284,519 1,422,595 7,112,975

Collatz Trajectory (98 steps to reach 1)

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

7,112,975 21,338,926 10,669,463 32,008,390 16,004,195 48,012,586 24,006,293 72,018,880 36,009,440 18,004,720 9,002,360 4,501,180 2,250,590 1,125,295 3,375,886 1,687,943 5,063,830 2,531,915 7,595,746 3,797,873 11,393,620 5,696,810 2,848,405 8,545,216 4,272,608 2,136,304 1,068,152 534,076 267,038 133,519 400,558 200,279 600,838 300,419 901,258 450,629 1,351,888 675,944 337,972 168,986 84,493 253,480 126,740 63,370 31,685 95,056 47,528 23,764 11,882 5,941 17,824 8,912 4,456 2,228 1,114 557 1,672 836 418 209

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