λ
Harmonic Matrix

4,480,798

2 × 7 × 320057
Deficient Even Composite

4,480,798 has digital root 4. The neighboring primes are 4480793 and 4480799; its proper-divisor sum differs from the starting integer by -1,280,204.

Prime Factor Structure

Factorization String 2 × 7 × 320057
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 7,681,392
Proper Divisor Sum 3,200,594
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #4480793 ← → #4480799

Radix Representation

Decimal 4480798
Binary 10001000101111100011110 (23 bits)
Octal 0o21057436
Hexadecimal 0x445F1E

Divisor Catalog (8)

1 2 7 14 320,057 640,114 2,240,399 4,480,798

Collatz Trajectory (149 steps to reach 1)

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

4,480,798 2,240,399 6,721,198 3,360,599 10,081,798 5,040,899 15,122,698 7,561,349 22,684,048 11,342,024 5,671,012 2,835,506 1,417,753 4,253,260 2,126,630 1,063,315 3,189,946 1,594,973 4,784,920 2,392,460 1,196,230 598,115 1,794,346 897,173 2,691,520 1,345,760 672,880 336,440 168,220 84,110 42,055 126,166 63,083 189,250 94,625 283,876 141,938 70,969 212,908 106,454 53,227 159,682 79,841 239,524 119,762 59,881 179,644 89,822 44,911 134,734 67,367 202,102 101,051 303,154 151,577 454,732 227,366 113,683 341,050 170,525

More profiles

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