λ
Integer Codex

5,410,729

41 × 131969
Deficient Odd Composite

For 5,410,729, the 4 positive divisors have a total of 5,542,740. Removing 5,410,729 leaves 132,011, which gives the deficient classification.

Prime Factor Structure

Factorization String 41 × 131969
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,542,740
Proper Divisor Sum 132,011
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #5410723 ← → #5410739

Radix Representation

Decimal 5410729
Binary 10100101000111110101001 (23 bits)
Octal 0o24507651
Hexadecimal 0x528FA9

Divisor Catalog (4)

1 41 131,969 5,410,729

Collatz Trajectory (139 steps to reach 1)

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

5,410,729 16,232,188 8,116,094 4,058,047 12,174,142 6,087,071 18,261,214 9,130,607 27,391,822 13,695,911 41,087,734 20,543,867 61,631,602 30,815,801 92,447,404 46,223,702 23,111,851 69,335,554 34,667,777 104,003,332 52,001,666 26,000,833 78,002,500 39,001,250 19,500,625 58,501,876 29,250,938 14,625,469 43,876,408 21,938,204 10,969,102 5,484,551 16,453,654 8,226,827 24,680,482 12,340,241 37,020,724 18,510,362 9,255,181 27,765,544 13,882,772 6,941,386 3,470,693 10,412,080 5,206,040 2,603,020 1,301,510 650,755 1,952,266 976,133 2,928,400 1,464,200 732,100 366,050 183,025 549,076 274,538 137,269 411,808 205,904

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