λ
Harmonic Matrix

3,212,922

2 × 3 × 535487
Abundant Even Composite

3,212,922 has digital root 3. The neighboring primes are 3212863 and 3212927; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 535487
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,425,856
Proper Divisor Sum 3,212,934
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3212863 ← → #3212927

Radix Representation

Decimal 3212922
Binary 1100010000011001111010 (22 bits)
Octal 0o14203172
Hexadecimal 0x31067A

Divisor Catalog (8)

1 2 3 6 535,487 1,070,974 1,606,461 3,212,922

Collatz Trajectory (146 steps to reach 1)

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

3,212,922 1,606,461 4,819,384 2,409,692 1,204,846 602,423 1,807,270 903,635 2,710,906 1,355,453 4,066,360 2,033,180 1,016,590 508,295 1,524,886 762,443 2,287,330 1,143,665 3,430,996 1,715,498 857,749 2,573,248 1,286,624 643,312 321,656 160,828 80,414 40,207 120,622 60,311 180,934 90,467 271,402 135,701 407,104 203,552 101,776 50,888 25,444 12,722 6,361 19,084 9,542 4,771 14,314 7,157 21,472 10,736 5,368 2,684 1,342 671 2,014 1,007 3,022 1,511 4,534 2,267 6,802 3,401

More profiles

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