λ
Harmonic Matrix

7,100,215

5 × 23 × 29 × 2129
Deficient Odd Composite

7,100,215 has digital root 7. The neighboring primes are 7100183 and 7100221; its proper-divisor sum differs from the starting integer by -4,998,830.

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Prime Factor Structure

Factorization String 5 × 23 × 29 × 2129
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 9,201,600
Proper Divisor Sum 2,101,385
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #7100183 ← → #7100221

Radix Representation

Decimal 7100215
Binary 11011000101011100110111 (23 bits)
Octal 0o33053467
Hexadecimal 0x6C5737

Divisor Catalog (5 of 16)

1 5 23 29 115

Collatz Trajectory (160 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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