λ
Harmonic Matrix

1,427,805

32 × 5 × 31729
Deficient Odd Composite

1,427,805 has digital root 9. The neighboring primes are 1427773 and 1427809; its proper-divisor sum differs from the starting integer by -380,670.

Prime Factor Structure

Factorization String 3^2 × 5 × 31729
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 2,474,940
Proper Divisor Sum 1,047,135
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #1427773 ← → #1427809

Radix Representation

Decimal 1427805
Binary 101011100100101011101 (21 bits)
Octal 0o5344535
Hexadecimal 0x15C95D

Divisor Catalog (12)

1 3 5 9 15 45 31,729 95,187 158,645 285,561 475,935 1,427,805

Collatz Trajectory (75 steps to reach 1)

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

1,427,805 4,283,416 2,141,708 1,070,854 535,427 1,606,282 803,141 2,409,424 1,204,712 602,356 301,178 150,589 451,768 225,884 112,942 56,471 169,414 84,707 254,122 127,061 381,184 190,592 95,296 47,648 23,824 11,912 5,956 2,978 1,489 4,468 2,234 1,117 3,352 1,676 838 419 1,258 629 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76 38 19 58 29 88 44

More profiles

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