λ
Harmonic Matrix

4,810,010

2 × 5 × 481001
Deficient Even Composite

4,810,010 has digital root 5. The neighboring primes are 4809977 and 4810019; its proper-divisor sum differs from the starting integer by -961,984.

Prime Factor Structure

Factorization String 2 × 5 × 481001
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 8,658,036
Proper Divisor Sum 3,848,026
Digit Sum / Digital Root 14 (Root: 5)
Adjacent Primes #4809977 ← → #4810019

Radix Representation

Decimal 4810010
Binary 10010010110010100011010 (23 bits)
Octal 0o22262432
Hexadecimal 0x49651A

Divisor Catalog (8)

1 2 5 10 481,001 962,002 2,405,005 4,810,010

Collatz Trajectory (118 steps to reach 1)

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

4,810,010 2,405,005 7,215,016 3,607,508 1,803,754 901,877 2,705,632 1,352,816 676,408 338,204 169,102 84,551 253,654 126,827 380,482 190,241 570,724 285,362 142,681 428,044 214,022 107,011 321,034 160,517 481,552 240,776 120,388 60,194 30,097 90,292 45,146 22,573 67,720 33,860 16,930 8,465 25,396 12,698 6,349 19,048 9,524 4,762 2,381 7,144 3,572 1,786 893 2,680 1,340 670 335 1,006 503 1,510 755 2,266 1,133 3,400 1,700 850

More profiles

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