λ
Harmonic Matrix

3,987,796

22 × 19 × 137 × 383
Deficient Even Composite

3,987,796 has digital root 4. The neighboring primes are 3987791 and 3987799; its proper-divisor sum differs from the starting integer by -556,712.

Prime Factor Structure

Factorization String 2^2 × 19 × 137 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,418,880
Proper Divisor Sum 3,431,084
Digit Sum / Digital Root 49 (Root: 4)
Adjacent Primes #3987791 ← → #3987799

Radix Representation

Decimal 3987796
Binary 1111001101100101010100 (22 bits)
Octal 0o17154524
Hexadecimal 0x3CD954

Divisor Catalog (24)

1 2 4 19 38 76 137 274 383 548 766 1,532 2,603 5,206 7,277 10,412 14,554 29,108 52,471 104,942 209,884 996,949 1,993,898 3,987,796

Collatz Trajectory (92 steps to reach 1)

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

3,987,796 1,993,898 996,949 2,990,848 1,495,424 747,712 373,856 186,928 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 1,672 836 418 209 628 314 157 472 236 118

More profiles

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