λ
Matchaa Zalai

6,879,759

3 × 41 × 55933
Deficient Odd Composite

6,879,759 factors as 3 × 41 × 55933. Its 8 positive divisors give a proper-divisor sum of 2,517,153, so this integer is deficient. The Collatz stopping time is 191 steps.

Prime Factor Structure

Factorization String 3 × 41 × 55933
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,396,912
Proper Divisor Sum 2,517,153
Digit Sum / Digital Root 51 (Root: 6)
Adjacent Primes #6879683 ← → #6879797

Radix Representation

Decimal 6879759
Binary 11010001111101000001111 (23 bits)
Octal 0o32175017
Hexadecimal 0x68FA0F

Divisor Catalog (8)

1 3 41 123 55,933 167,799 2,293,253 6,879,759

Collatz Trajectory (191 steps to reach 1)

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

6,879,759 20,639,278 10,319,639 30,958,918 15,479,459 46,438,378 23,219,189 69,657,568 34,828,784 17,414,392 8,707,196 4,353,598 2,176,799 6,530,398 3,265,199 9,795,598 4,897,799 14,693,398 7,346,699 22,040,098 11,020,049 33,060,148 16,530,074 8,265,037 24,795,112 12,397,556 6,198,778 3,099,389 9,298,168 4,649,084 2,324,542 1,162,271 3,486,814 1,743,407 5,230,222 2,615,111 7,845,334 3,922,667 11,768,002 5,884,001 17,652,004 8,826,002 4,413,001 13,239,004 6,619,502 3,309,751 9,929,254 4,964,627 14,893,882 7,446,941 22,340,824 11,170,412 5,585,206 2,792,603 8,377,810 4,188,905 12,566,716 6,283,358 3,141,679 9,425,038

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