λ
Math Directory

4,226,006

2 × 2113003
Deficient Even Composite

4,226,006 factors as 2 × 2113003. Its 4 positive divisors give a proper-divisor sum of 2,113,006, so this integer is deficient. The Collatz stopping time is 105 steps.

Prime Factor Structure

Factorization String 2 × 2113003
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 6,339,012
Proper Divisor Sum 2,113,006
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4225981 ← → #4226009

Radix Representation

Decimal 4226006
Binary 10000000111101111010110 (23 bits)
Octal 0o20075726
Hexadecimal 0x407BD6

Divisor Catalog (4)

1 2 2,113,003 4,226,006

Collatz Trajectory (105 steps to reach 1)

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

4,226,006 2,113,003 6,339,010 3,169,505 9,508,516 4,754,258 2,377,129 7,131,388 3,565,694 1,782,847 5,348,542 2,674,271 8,022,814 4,011,407 12,034,222 6,017,111 18,051,334 9,025,667 27,077,002 13,538,501 40,615,504 20,307,752 10,153,876 5,076,938 2,538,469 7,615,408 3,807,704 1,903,852 951,926 475,963 1,427,890 713,945 2,141,836 1,070,918 535,459 1,606,378 803,189 2,409,568 1,204,784 602,392 301,196 150,598 75,299 225,898 112,949 338,848 169,424 84,712 42,356 21,178 10,589 31,768 15,884 7,942 3,971 11,914 5,957 17,872 8,936 4,468

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