λ
Zalai Atlas

2,540,571

3 × 11 × 167 × 461
Deficient Odd Composite

2,540,571 has the prime decomposition 3 × 11 × 167 × 461. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 11 × 167 × 461
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 3,725,568
Proper Divisor Sum 1,184,997
Digit Sum / Digital Root 24 (Root: 6)
Adjacent Primes #2540567 ← → #2540581

Radix Representation

Decimal 2540571
Binary 1001101100010000011011 (22 bits)
Octal 0o11542033
Hexadecimal 0x26C41B

Divisor Catalog (16)

1 3 11 33 167 461 501 1,383 1,837 5,071 5,511 15,213 76,987 230,961 846,857 2,540,571

Collatz Trajectory (156 steps to reach 1)

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

2,540,571 7,621,714 3,810,857 11,432,572 5,716,286 2,858,143 8,574,430 4,287,215 12,861,646 6,430,823 19,292,470 9,646,235 28,938,706 14,469,353 43,408,060 21,704,030 10,852,015 32,556,046 16,278,023 48,834,070 24,417,035 73,251,106 36,625,553 109,876,660 54,938,330 27,469,165 82,407,496 41,203,748 20,601,874 10,300,937 30,902,812 15,451,406 7,725,703 23,177,110 11,588,555 34,765,666 17,382,833 52,148,500 26,074,250 13,037,125 39,111,376 19,555,688 9,777,844 4,888,922 2,444,461 7,333,384 3,666,692 1,833,346 916,673 2,750,020 1,375,010 687,505 2,062,516 1,031,258 515,629 1,546,888 773,444 386,722 193,361 580,084

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