λ
Harmonic Matrix

1,794,365

5 × 41 × 8753
Deficient Odd Composite

1,794,365 has digital root 8. The neighboring primes are 1794361 and 1794371; its proper-divisor sum differs from the starting integer by -1,382,722.

Prime Factor Structure

Factorization String 5 × 41 × 8753
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 2,206,008
Proper Divisor Sum 411,643
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #1794361 ← → #1794371

Radix Representation

Decimal 1794365
Binary 110110110000100111101 (21 bits)
Octal 0o6660475
Hexadecimal 0x1B613D

Divisor Catalog (8)

1 5 41 205 8,753 43,765 358,873 1,794,365

Collatz Trajectory (96 steps to reach 1)

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

1,794,365 5,383,096 2,691,548 1,345,774 672,887 2,018,662 1,009,331 3,027,994 1,513,997 4,541,992 2,270,996 1,135,498 567,749 1,703,248 851,624 425,812 212,906 106,453 319,360 159,680 79,840 39,920 19,960 9,980 4,990 2,495 7,486 3,743 11,230 5,615 16,846 8,423 25,270 12,635 37,906 18,953 56,860 28,430 14,215 42,646 21,323 63,970 31,985 95,956 47,978 23,989 71,968 35,984 17,992 8,996 4,498 2,249 6,748 3,374 1,687 5,062 2,531 7,594 3,797 11,392

More profiles

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