λ
Harmonic Matrix

3,943,646

2 × 7 × 101 × 2789
Deficient Even Composite

3,943,646 has digital root 8. The neighboring primes are 3943637 and 3943651; its proper-divisor sum differs from the starting integer by -1,057,372.

Prime Factor Structure

Factorization String 2 × 7 × 101 × 2789
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 6,829,920
Proper Divisor Sum 2,886,274
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #3943637 ← → #3943651

Radix Representation

Decimal 3943646
Binary 1111000010110011011110 (22 bits)
Octal 0o17026336
Hexadecimal 0x3C2CDE

Divisor Catalog (16)

1 2 7 14 101 202 707 1,414 2,789 5,578 19,523 39,046 281,689 563,378 1,971,823 3,943,646

Collatz Trajectory (154 steps to reach 1)

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

3,943,646 1,971,823 5,915,470 2,957,735 8,873,206 4,436,603 13,309,810 6,654,905 19,964,716 9,982,358 4,991,179 14,973,538 7,486,769 22,460,308 11,230,154 5,615,077 16,845,232 8,422,616 4,211,308 2,105,654 1,052,827 3,158,482 1,579,241 4,737,724 2,368,862 1,184,431 3,553,294 1,776,647 5,329,942 2,664,971 7,994,914 3,997,457 11,992,372 5,996,186 2,998,093 8,994,280 4,497,140 2,248,570 1,124,285 3,372,856 1,686,428 843,214 421,607 1,264,822 632,411 1,897,234 948,617 2,845,852 1,422,926 711,463 2,134,390 1,067,195 3,201,586 1,600,793 4,802,380 2,401,190 1,200,595 3,601,786 1,800,893 5,402,680

More profiles

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