λ
Harmonic Matrix

798,837

3 × 13 × 20483
Deficient Odd Composite

798,837 has digital root 6. The neighboring primes are 798823 and 798871; its proper-divisor sum differs from the starting integer by -450,570.

Prime Factor Structure

Factorization String 3 × 13 × 20483
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,147,104
Proper Divisor Sum 348,267
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #798823 ← → #798871

Radix Representation

Decimal 798837
Binary 11000011000001110101 (20 bits)
Octal 0o3030165
Hexadecimal 0xC3075

Divisor Catalog (8)

1 3 13 39 20,483 61,449 266,279 798,837

Collatz Trajectory (206 steps to reach 1)

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

798,837 2,396,512 1,198,256 599,128 299,564 149,782 74,891 224,674 112,337 337,012 168,506 84,253 252,760 126,380 63,190 31,595 94,786 47,393 142,180 71,090 35,545 106,636 53,318 26,659 79,978 39,989 119,968 59,984 29,992 14,996 7,498 3,749 11,248 5,624 2,812 1,406 703 2,110 1,055 3,166 1,583 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454

More profiles

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