λ
Harmonic Matrix

787,701

3 × 262567
Deficient Odd Composite

787,701 has digital root 3. The neighboring primes are 787697 and 787711; its proper-divisor sum differs from the starting integer by -525,130.

Prime Factor Structure

Factorization String 3 × 262567
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 1,050,272
Proper Divisor Sum 262,571
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #787697 ← → #787711

Radix Representation

Decimal 787701
Binary 11000000010011110101 (20 bits)
Octal 0o3002365
Hexadecimal 0xC04F5

Divisor Catalog (4)

1 3 262,567 787,701

Collatz Trajectory (100 steps to reach 1)

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

787,701 2,363,104 1,181,552 590,776 295,388 147,694 73,847 221,542 110,771 332,314 166,157 498,472 249,236 124,618 62,309 186,928 93,464 46,732 23,366 11,683 35,050 17,525 52,576 26,288 13,144 6,572 3,286 1,643 4,930 2,465 7,396 3,698 1,849 5,548 2,774 1,387 4,162 2,081 6,244 3,122 1,561 4,684 2,342 1,171 3,514 1,757 5,272 2,636 1,318 659 1,978 989 2,968 1,484 742 371 1,114 557 1,672 836

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