λ
Harmonic Matrix

3,040,221

3 × 307 × 3301
Deficient Odd Composite

3,040,221 has digital root 3. The neighboring primes are 3040217 and 3040223; its proper-divisor sum differs from the starting integer by -2,012,378.

Prime Factor Structure

Factorization String 3 × 307 × 3301
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 4,068,064
Proper Divisor Sum 1,027,843
Digit Sum / Digital Root 12 (Root: 3)
Adjacent Primes #3040217 ← → #3040223

Radix Representation

Decimal 3040221
Binary 1011100110001111011101 (22 bits)
Octal 0o13461735
Hexadecimal 0x2E63DD

Divisor Catalog (8)

1 3 307 921 3,301 9,903 1,013,407 3,040,221

Collatz Trajectory (107 steps to reach 1)

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

3,040,221 9,120,664 4,560,332 2,280,166 1,140,083 3,420,250 1,710,125 5,130,376 2,565,188 1,282,594 641,297 1,923,892 961,946 480,973 1,442,920 721,460 360,730 180,365 541,096 270,548 135,274 67,637 202,912 101,456 50,728 25,364 12,682 6,341 19,024 9,512 4,756 2,378 1,189 3,568 1,784 892 446 223 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238

More profiles

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