λ
Harmonic Matrix

3,278,326

2 × 199 × 8237
Deficient Even Composite

3,278,326 has digital root 4. The neighboring primes are 3278321 and 3278329; its proper-divisor sum differs from the starting integer by -1,613,852.

Prime Factor Structure

Factorization String 2 × 199 × 8237
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,942,800
Proper Divisor Sum 1,664,474
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #3278321 ← → #3278329

Radix Representation

Decimal 3278326
Binary 1100100000010111110110 (22 bits)
Octal 0o14402766
Hexadecimal 0x3205F6

Divisor Catalog (8)

1 2 199 398 8,237 16,474 1,639,163 3,278,326

Collatz Trajectory (89 steps to reach 1)

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

3,278,326 1,639,163 4,917,490 2,458,745 7,376,236 3,688,118 1,844,059 5,532,178 2,766,089 8,298,268 4,149,134 2,074,567 6,223,702 3,111,851 9,335,554 4,667,777 14,003,332 7,001,666 3,500,833 10,502,500 5,251,250 2,625,625 7,876,876 3,938,438 1,969,219 5,907,658 2,953,829 8,861,488 4,430,744 2,215,372 1,107,686 553,843 1,661,530 830,765 2,492,296 1,246,148 623,074 311,537 934,612 467,306 233,653 700,960 350,480 175,240 87,620 43,810 21,905 65,716 32,858 16,429 49,288 24,644 12,322 6,161 18,484 9,242 4,621 13,864 6,932 3,466

More profiles

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