λ
Harmonic Matrix

1,252,097

72 × 11 × 23 × 101
Deficient Odd Composite

1,252,097 has digital root 8. The neighboring primes are 1252079 and 1252103; its proper-divisor sum differs from the starting integer by -829,762.

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Prime Factor Structure

Factorization String 7^2 × 11 × 23 × 101
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,674,432
Proper Divisor Sum 422,335
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #1252079 ← → #1252103

Radix Representation

Decimal 1252097
Binary 100110001101100000001 (21 bits)
Octal 0o4615401
Hexadecimal 0x131B01

Divisor Catalog (5 of 24)

1 7 11 23 49

Collatz Trajectory (54 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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