λ
Harmonic Matrix

7,722,260

22 × 5 × 7 × 13 × 4243
Abundant Even Composite

7,722,260 has digital root 8. The neighboring primes are 7722257 and 7722269; its proper-divisor sum differs from the starting integer by 4,519,256.

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Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 13 × 4243
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 19,963,776
Proper Divisor Sum 12,241,516
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #7722257 ← → #7722269

Radix Representation

Decimal 7722260
Binary 11101011101010100010100 (23 bits)
Octal 0o35352424
Hexadecimal 0x75D514

Divisor Catalog (5 of 48)

1 2 4 5 7

Collatz Trajectory (248 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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