λ
Harmonic Matrix

896,781

3 × 19 × 15733
Deficient Odd Composite

896,781 has digital root 3. The neighboring primes are 896771 and 896783; its proper-divisor sum differs from the starting integer by -534,842.

Prime Factor Structure

Factorization String 3 × 19 × 15733
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,258,720
Proper Divisor Sum 361,939
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #896771 ← → #896783

Radix Representation

Decimal 896781
Binary 11011010111100001101 (20 bits)
Octal 0o3327415
Hexadecimal 0xDAF0D

Divisor Catalog (8)

1 3 19 57 15,733 47,199 298,927 896,781

Collatz Trajectory (232 steps to reach 1)

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

896,781 2,690,344 1,345,172 672,586 336,293 1,008,880 504,440 252,220 126,110 63,055 189,166 94,583 283,750 141,875 425,626 212,813 638,440 319,220 159,610 79,805 239,416 119,708 59,854 29,927 89,782 44,891 134,674 67,337 202,012 101,006 50,503 151,510 75,755 227,266 113,633 340,900 170,450 85,225 255,676 127,838 63,919 191,758 95,879 287,638 143,819 431,458 215,729 647,188 323,594 161,797 485,392 242,696 121,348 60,674 30,337 91,012 45,506 22,753 68,260 34,130

More profiles

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