λ
Harmonic Matrix

4,342,642

2 × 1163 × 1867
Deficient Even Composite

4,342,642 has digital root 7. The neighboring primes are 4342631 and 4342649; its proper-divisor sum differs from the starting integer by -2,162,228.

Prime Factor Structure

Factorization String 2 × 1163 × 1867
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 6,523,056
Proper Divisor Sum 2,180,414
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #4342631 ← → #4342649

Radix Representation

Decimal 4342642
Binary 10000100100001101110010 (23 bits)
Octal 0o20441562
Hexadecimal 0x424372

Divisor Catalog (8)

1 2 1,163 1,867 2,326 3,734 2,171,321 4,342,642

Collatz Trajectory (105 steps to reach 1)

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

4,342,642 2,171,321 6,513,964 3,256,982 1,628,491 4,885,474 2,442,737 7,328,212 3,664,106 1,832,053 5,496,160 2,748,080 1,374,040 687,020 343,510 171,755 515,266 257,633 772,900 386,450 193,225 579,676 289,838 144,919 434,758 217,379 652,138 326,069 978,208 489,104 244,552 122,276 61,138 30,569 91,708 45,854 22,927 68,782 34,391 103,174 51,587 154,762 77,381 232,144 116,072 58,036 29,018 14,509 43,528 21,764 10,882 5,441 16,324 8,162 4,081 12,244 6,122 3,061 9,184 4,592

More profiles

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