λ
Integer Codex

4,040,431

4040431
Deficient Odd Prime

For 4,040,431, the 2 positive divisors have a total of 4,040,432. Removing 4,040,431 leaves 1, which gives the deficient classification.

Prime Factor Structure

Factorization String 4040431
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 4,040,432
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #4040429 ← → #4040459

Radix Representation

Decimal 4040431
Binary 1111011010011011101111 (22 bits)
Octal 0o17323357
Hexadecimal 0x3DA6EF

Divisor Catalog (2)

Collatz Trajectory (136 steps to reach 1)

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

4,040,431 12,121,294 6,060,647 18,181,942 9,090,971 27,272,914 13,636,457 40,909,372 20,454,686 10,227,343 30,682,030 15,341,015 46,023,046 23,011,523 69,034,570 34,517,285 103,551,856 51,775,928 25,887,964 12,943,982 6,471,991 19,415,974 9,707,987 29,123,962 14,561,981 43,685,944 21,842,972 10,921,486 5,460,743 16,382,230 8,191,115 24,573,346 12,286,673 36,860,020 18,430,010 9,215,005 27,645,016 13,822,508 6,911,254 3,455,627 10,366,882 5,183,441 15,550,324 7,775,162 3,887,581 11,662,744 5,831,372 2,915,686 1,457,843 4,373,530 2,186,765 6,560,296 3,280,148 1,640,074 820,037 2,460,112 1,230,056 615,028 307,514 153,757

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