λ
Harmonic Matrix

7,211,480

23 × 5 × 180287
Abundant Even Composite

7,211,480 has digital root 5. The neighboring primes are 7211447 and 7211483; its proper-divisor sum differs from the starting integer by 1,802,960.

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Prime Factor Structure

Factorization String 2^3 × 5 × 180287
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 16,225,920
Proper Divisor Sum 9,014,440
Digit Sum / Digital Root 23 (Root: 5)
Adjacent Primes #7211447 ← → #7211483

Radix Representation

Decimal 7211480
Binary 11011100000100111011000 (23 bits)
Octal 0o33404730
Hexadecimal 0x6E09D8

Divisor Catalog (5 of 16)

1 2 4 5 8

Collatz Trajectory (90 steps to reach 1)

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

Showing the first 5 trajectory entries; the stopping-time total above is unchanged.

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