λ
Harmonic Matrix

3,129,222

2 × 3 × 521537
Abundant Even Composite

3,129,222 has digital root 3. The neighboring primes are 3129221 and 3129223; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 521537
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,258,456
Proper Divisor Sum 3,129,234
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #3129221 ← → #3129223

Radix Representation

Decimal 3129222
Binary 1011111011111110000110 (22 bits)
Octal 0o13737606
Hexadecimal 0x2FBF86

Divisor Catalog (8)

1 2 3 6 521,537 1,043,074 1,564,611 3,129,222

Collatz Trajectory (226 steps to reach 1)

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

3,129,222 1,564,611 4,693,834 2,346,917 7,040,752 3,520,376 1,760,188 880,094 440,047 1,320,142 660,071 1,980,214 990,107 2,970,322 1,485,161 4,455,484 2,227,742 1,113,871 3,341,614 1,670,807 5,012,422 2,506,211 7,518,634 3,759,317 11,277,952 5,638,976 2,819,488 1,409,744 704,872 352,436 176,218 88,109 264,328 132,164 66,082 33,041 99,124 49,562 24,781 74,344 37,172 18,586 9,293 27,880 13,940 6,970 3,485 10,456 5,228 2,614 1,307 3,922 1,961 5,884 2,942 1,471 4,414 2,207 6,622 3,311

More profiles

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