λ
Sigma Notebook

7,351,198

2 × 71 × 51769
Deficient Even Composite

7,351,198 is even and not a perfect square. Its factorization is 2 × 71 × 51769 and its 8 divisors sum to 11,182,320.

Prime Factor Structure

Factorization String 2 × 71 × 51769
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 11,182,320
Proper Divisor Sum 3,831,122
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #7351189 ← → #7351207

Radix Representation

Decimal 7351198
Binary 11100000010101110011110 (23 bits)
Octal 0o34025636
Hexadecimal 0x702B9E

Divisor Catalog (8)

1 2 71 142 51,769 103,538 3,675,599 7,351,198

Collatz Trajectory (204 steps to reach 1)

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

7,351,198 3,675,599 11,026,798 5,513,399 16,540,198 8,270,099 24,810,298 12,405,149 37,215,448 18,607,724 9,303,862 4,651,931 13,955,794 6,977,897 20,933,692 10,466,846 5,233,423 15,700,270 7,850,135 23,550,406 11,775,203 35,325,610 17,662,805 52,988,416 26,494,208 13,247,104 6,623,552 3,311,776 1,655,888 827,944 413,972 206,986 103,493 310,480 155,240 77,620 38,810 19,405 58,216 29,108 14,554 7,277 21,832 10,916 5,458 2,729 8,188 4,094 2,047 6,142 3,071 9,214 4,607 13,822 6,911 20,734 10,367 31,102 15,551 46,654

More profiles

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