λ
Integer Codex

6,414,971

107 × 167 × 359
Deficient Odd Composite

For 6,414,971, the 8 positive divisors have a total of 6,531,840. Removing 6,414,971 leaves 116,869, which gives the deficient classification.

Prime Factor Structure

Factorization String 107 × 167 × 359
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,531,840
Proper Divisor Sum 116,869
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #6414959 ← → #6414973

Radix Representation

Decimal 6414971
Binary 11000011110001001111011 (23 bits)
Octal 0o30361173
Hexadecimal 0x61E27B

Divisor Catalog (8)

1 107 167 359 17,869 38,413 59,953 6,414,971

Collatz Trajectory (178 steps to reach 1)

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

6,414,971 19,244,914 9,622,457 28,867,372 14,433,686 7,216,843 21,650,530 10,825,265 32,475,796 16,237,898 8,118,949 24,356,848 12,178,424 6,089,212 3,044,606 1,522,303 4,566,910 2,283,455 6,850,366 3,425,183 10,275,550 5,137,775 15,413,326 7,706,663 23,119,990 11,559,995 34,679,986 17,339,993 52,019,980 26,009,990 13,004,995 39,014,986 19,507,493 58,522,480 29,261,240 14,630,620 7,315,310 3,657,655 10,972,966 5,486,483 16,459,450 8,229,725 24,689,176 12,344,588 6,172,294 3,086,147 9,258,442 4,629,221 13,887,664 6,943,832 3,471,916 1,735,958 867,979 2,603,938 1,301,969 3,905,908 1,952,954 976,477 2,929,432 1,464,716

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