λ
Harmonic Matrix

4,922,562

2 × 3 × 820427
Abundant Even Composite

4,922,562 has digital root 3. The neighboring primes are 4922543 and 4922563; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 820427
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 9,845,136
Proper Divisor Sum 4,922,574
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #4922543 ← → #4922563

Radix Representation

Decimal 4922562
Binary 10010110001110011000010 (23 bits)
Octal 0o22616302
Hexadecimal 0x4B1CC2

Divisor Catalog (8)

1 2 3 6 820,427 1,640,854 2,461,281 4,922,562

Collatz Trajectory (175 steps to reach 1)

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

4,922,562 2,461,281 7,383,844 3,691,922 1,845,961 5,537,884 2,768,942 1,384,471 4,153,414 2,076,707 6,230,122 3,115,061 9,345,184 4,672,592 2,336,296 1,168,148 584,074 292,037 876,112 438,056 219,028 109,514 54,757 164,272 82,136 41,068 20,534 10,267 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145

More profiles

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