λ
Harmonic Matrix

1,406,787

3 × 263 × 1783
Deficient Odd Composite

1,406,787 has digital root 6. The neighboring primes are 1406773 and 1406789; its proper-divisor sum differs from the starting integer by -929,670.

Prime Factor Structure

Factorization String 3 × 263 × 1783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 1,883,904
Proper Divisor Sum 477,117
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #1406773 ← → #1406789

Radix Representation

Decimal 1406787
Binary 101010111011101000011 (21 bits)
Octal 0o5273503
Hexadecimal 0x157743

Divisor Catalog (8)

1 3 263 789 1,783 5,349 468,929 1,406,787

Collatz Trajectory (181 steps to reach 1)

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

1,406,787 4,220,362 2,110,181 6,330,544 3,165,272 1,582,636 791,318 395,659 1,186,978 593,489 1,780,468 890,234 445,117 1,335,352 667,676 333,838 166,919 500,758 250,379 751,138 375,569 1,126,708 563,354 281,677 845,032 422,516 211,258 105,629 316,888 158,444 79,222 39,611 118,834 59,417 178,252 89,126 44,563 133,690 66,845 200,536 100,268 50,134 25,067 75,202 37,601 112,804 56,402 28,201 84,604 42,302 21,151 63,454 31,727 95,182 47,591 142,774 71,387 214,162 107,081 321,244

More profiles

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