λ
Math Directory

6,241,081

72 × 11 × 11579
Deficient Odd Composite

6,241,081 factors as 7^2 × 11 × 11579. Its 12 positive divisors give a proper-divisor sum of 1,679,639, so this integer is deficient. The Collatz stopping time is 346 steps.

Prime Factor Structure

Factorization String 7^2 × 11 × 11579
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 7,920,720
Proper Divisor Sum 1,679,639
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #6241043 ← → #6241097

Radix Representation

Decimal 6241081
Binary 10111110011101100111001 (23 bits)
Octal 0o27635471
Hexadecimal 0x5F3B39

Divisor Catalog (12)

1 7 11 49 77 539 11,579 81,053 127,369 567,371 891,583 6,241,081

Collatz Trajectory (346 steps to reach 1)

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

6,241,081 18,723,244 9,361,622 4,680,811 14,042,434 7,021,217 21,063,652 10,531,826 5,265,913 15,797,740 7,898,870 3,949,435 11,848,306 5,924,153 17,772,460 8,886,230 4,443,115 13,329,346 6,664,673 19,994,020 9,997,010 4,998,505 14,995,516 7,497,758 3,748,879 11,246,638 5,623,319 16,869,958 8,434,979 25,304,938 12,652,469 37,957,408 18,978,704 9,489,352 4,744,676 2,372,338 1,186,169 3,558,508 1,779,254 889,627 2,668,882 1,334,441 4,003,324 2,001,662 1,000,831 3,002,494 1,501,247 4,503,742 2,251,871 6,755,614 3,377,807 10,133,422 5,066,711 15,200,134 7,600,067 22,800,202 11,400,101 34,200,304 17,100,152 8,550,076

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