λ
Harmonic Matrix

567,331

31 × 18301
Deficient Odd Composite

567,331 has digital root 7. The neighboring primes are 567323 and 567367; its proper-divisor sum differs from the starting integer by -548,998.

Prime Factor Structure

Factorization String 31 × 18301
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 585,664
Proper Divisor Sum 18,333
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #567323 ← → #567367

Radix Representation

Decimal 567331
Binary 10001010100000100011 (20 bits)
Octal 0o2124043
Hexadecimal 0x8A823

Divisor Catalog (4)

1 31 18,301 567,331

Collatz Trajectory (128 steps to reach 1)

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

567,331 1,701,994 850,997 2,552,992 1,276,496 638,248 319,124 159,562 79,781 239,344 119,672 59,836 29,918 14,959 44,878 22,439 67,318 33,659 100,978 50,489 151,468 75,734 37,867 113,602 56,801 170,404 85,202 42,601 127,804 63,902 31,951 95,854 47,927 143,782 71,891 215,674 107,837 323,512 161,756 80,878 40,439 121,318 60,659 181,978 90,989 272,968 136,484 68,242 34,121 102,364 51,182 25,591 76,774 38,387 115,162 57,581 172,744 86,372 43,186 21,593

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