λ
Harmonic Matrix

3,994,356

22 × 3 × 43 × 7741
Abundant Even Composite

3,994,356 has digital root 3. The neighboring primes are 3994279 and 3994357; its proper-divisor sum differs from the starting integer by 1,549,432.

Prime Factor Structure

Factorization String 2^2 × 3 × 43 × 7741
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 9,538,144
Proper Divisor Sum 5,543,788
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #3994279 ← → #3994357

Radix Representation

Decimal 3994356
Binary 1111001111001011110100 (22 bits)
Octal 0o17171364
Hexadecimal 0x3CF2F4

Divisor Catalog (24)

1 2 3 4 6 12 43 86 129 172 258 516 7,741 15,482 23,223 30,964 46,446 92,892 332,863 665,726 998,589 1,331,452 1,997,178 3,994,356

Collatz Trajectory (154 steps to reach 1)

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

3,994,356 1,997,178 998,589 2,995,768 1,497,884 748,942 374,471 1,123,414 561,707 1,685,122 842,561 2,527,684 1,263,842 631,921 1,895,764 947,882 473,941 1,421,824 710,912 355,456 177,728 88,864 44,432 22,216 11,108 5,554 2,777 8,332 4,166 2,083 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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