λ
Harmonic Matrix

7,493,117

7493117
Deficient Odd Prime

7,493,117 has digital root 5. The neighboring primes are 7493111 and 7493159; its proper-divisor sum differs from the starting integer by -7,493,116.

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Prime Factor Structure

Factorization String 7493117
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 7,493,118
Proper Divisor Sum 1
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #7493111 ← → #7493159

Radix Representation

Decimal 7493117
Binary 11100100101010111111101 (23 bits)
Octal 0o34452775
Hexadecimal 0x7255FD

Divisor Catalog (2)

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.

7,493,117 22,479,352 11,239,676 5,619,838 2,809,919

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