λ
Math Directory

6,671,421

32 × 29 × 25561
Deficient Odd Composite

6,671,421 factors as 3^2 × 29 × 25561. Its 12 positive divisors give a proper-divisor sum of 3,297,759, so this integer is deficient. The Collatz stopping time is 85 steps.

Prime Factor Structure

Factorization String 3^2 × 29 × 25561
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 9,969,180
Proper Divisor Sum 3,297,759
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #6671411 ← → #6671443

Radix Representation

Decimal 6671421
Binary 11001011100110000111101 (23 bits)
Octal 0o31346075
Hexadecimal 0x65CC3D

Divisor Catalog (12)

1 3 9 29 87 261 25,561 76,683 230,049 741,269 2,223,807 6,671,421

Collatz Trajectory (85 steps to reach 1)

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

6,671,421 20,014,264 10,007,132 5,003,566 2,501,783 7,505,350 3,752,675 11,258,026 5,629,013 16,887,040 8,443,520 4,221,760 2,110,880 1,055,440 527,720 263,860 131,930 65,965 197,896 98,948 49,474 24,737 74,212 37,106 18,553 55,660 27,830 13,915 41,746 20,873 62,620 31,310 15,655 46,966 23,483 70,450 35,225 105,676 52,838 26,419 79,258 39,629 118,888 59,444 29,722 14,861 44,584 22,292 11,146 5,573 16,720 8,360 4,180 2,090 1,045 3,136 1,568 784 392 196

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