λ
Harmonic Matrix

3,221,644

22 × 31 × 25981
Deficient Even Composite

3,221,644 has digital root 4. The neighboring primes are 3221641 and 3221677; its proper-divisor sum differs from the starting integer by -623,320.

Prime Factor Structure

Factorization String 2^2 × 31 × 25981
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 5,819,968
Proper Divisor Sum 2,598,324
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3221641 ← → #3221677

Radix Representation

Decimal 3221644
Binary 1100010010100010001100 (22 bits)
Octal 0o14224214
Hexadecimal 0x31288C

Divisor Catalog (12)

1 2 4 31 62 124 25,981 51,962 103,924 805,411 1,610,822 3,221,644

Collatz Trajectory (94 steps to reach 1)

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

3,221,644 1,610,822 805,411 2,416,234 1,208,117 3,624,352 1,812,176 906,088 453,044 226,522 113,261 339,784 169,892 84,946 42,473 127,420 63,710 31,855 95,566 47,783 143,350 71,675 215,026 107,513 322,540 161,270 80,635 241,906 120,953 362,860 181,430 90,715 272,146 136,073 408,220 204,110 102,055 306,166 153,083 459,250 229,625 688,876 344,438 172,219 516,658 258,329 774,988 387,494 193,747 581,242 290,621 871,864 435,932 217,966 108,983 326,950 163,475 490,426 245,213 735,640

More profiles

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