λ
Harmonic Matrix

3,994,420

22 × 5 × 199721
Abundant Even Composite

3,994,420 has digital root 4. The neighboring primes are 3994411 and 3994421; its proper-divisor sum differs from the starting integer by 399,484.

Prime Factor Structure

Factorization String 2^2 × 5 × 199721
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 8,388,324
Proper Divisor Sum 4,393,904
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3994411 ← → #3994421

Radix Representation

Decimal 3994420
Binary 1111001111001100110100 (22 bits)
Octal 0o17171464
Hexadecimal 0x3CF334

Divisor Catalog (12)

1 2 4 5 10 20 199,721 399,442 798,884 998,605 1,997,210 3,994,420

Collatz Trajectory (154 steps to reach 1)

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

3,994,420 1,997,210 998,605 2,995,816 1,497,908 748,954 374,477 1,123,432 561,716 280,858 140,429 421,288 210,644 105,322 52,661 157,984 78,992 39,496 19,748 9,874 4,937 14,812 7,406 3,703 11,110 5,555 16,666 8,333 25,000 12,500 6,250 3,125 9,376 4,688 2,344 1,172 586 293 880 440 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121

More profiles

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