λ
Harmonic Matrix

3,987,422

2 × 1993711
Deficient Even Composite

3,987,422 has digital root 8. The neighboring primes are 3987421 and 3987427; its proper-divisor sum differs from the starting integer by -1,993,708.

Prime Factor Structure

Factorization String 2 × 1993711
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 5,981,136
Proper Divisor Sum 1,993,714
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3987421 ← → #3987427

Radix Representation

Decimal 3987422
Binary 1111001101011111011110 (22 bits)
Octal 0o17153736
Hexadecimal 0x3CD7DE

Divisor Catalog (4)

1 2 1,993,711 3,987,422

Collatz Trajectory (115 steps to reach 1)

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

3,987,422 1,993,711 5,981,134 2,990,567 8,971,702 4,485,851 13,457,554 6,728,777 20,186,332 10,093,166 5,046,583 15,139,750 7,569,875 22,709,626 11,354,813 34,064,440 17,032,220 8,516,110 4,258,055 12,774,166 6,387,083 19,161,250 9,580,625 28,741,876 14,370,938 7,185,469 21,556,408 10,778,204 5,389,102 2,694,551 8,083,654 4,041,827 12,125,482 6,062,741 18,188,224 9,094,112 4,547,056 2,273,528 1,136,764 568,382 284,191 852,574 426,287 1,278,862 639,431 1,918,294 959,147 2,877,442 1,438,721 4,316,164 2,158,082 1,079,041 3,237,124 1,618,562 809,281 2,427,844 1,213,922 606,961 1,820,884 910,442

More profiles

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