λ
Harmonic Matrix

815,578

2 × 407789
Deficient Even Composite

815,578 has digital root 7. The neighboring primes are 815569 and 815587; its proper-divisor sum differs from the starting integer by -407,786.

Prime Factor Structure

Factorization String 2 × 407789
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,223,370
Proper Divisor Sum 407,792
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #815569 ← → #815587

Radix Representation

Decimal 815578
Binary 11000111000111011010 (20 bits)
Octal 0o3070732
Hexadecimal 0xC71DA

Divisor Catalog (4)

1 2 407,789 815,578

Collatz Trajectory (113 steps to reach 1)

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

815,578 407,789 1,223,368 611,684 305,842 152,921 458,764 229,382 114,691 344,074 172,037 516,112 258,056 129,028 64,514 32,257 96,772 48,386 24,193 72,580 36,290 18,145 54,436 27,218 13,609 40,828 20,414 10,207 30,622 15,311 45,934 22,967 68,902 34,451 103,354 51,677 155,032 77,516 38,758 19,379 58,138 29,069 87,208 43,604 21,802 10,901 32,704 16,352 8,176 4,088 2,044 1,022 511 1,534 767 2,302 1,151 3,454 1,727 5,182

More profiles

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