λ
Harmonic Matrix

635,899

11 × 57809
Deficient Odd Composite

635,899 has digital root 4. The neighboring primes are 635893 and 635909; its proper-divisor sum differs from the starting integer by -578,078.

Prime Factor Structure

Factorization String 11 × 57809
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 693,720
Proper Divisor Sum 57,821
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #635893 ← → #635909

Radix Representation

Decimal 635899
Binary 10011011001111111011 (20 bits)
Octal 0o2331773
Hexadecimal 0x9B3FB

Divisor Catalog (4)

1 11 57,809 635,899

Collatz Trajectory (123 steps to reach 1)

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

635,899 1,907,698 953,849 2,861,548 1,430,774 715,387 2,146,162 1,073,081 3,219,244 1,609,622 804,811 2,414,434 1,207,217 3,621,652 1,810,826 905,413 2,716,240 1,358,120 679,060 339,530 169,765 509,296 254,648 127,324 63,662 31,831 95,494 47,747 143,242 71,621 214,864 107,432 53,716 26,858 13,429 40,288 20,144 10,072 5,036 2,518 1,259 3,778 1,889 5,668 2,834 1,417 4,252 2,126 1,063 3,190 1,595 4,786 2,393 7,180 3,590 1,795 5,386 2,693 8,080 4,040

More profiles

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