λ
Harmonic Matrix

1,199,765

5 × 72 × 59 × 83
Deficient Odd Composite

1,199,765 has digital root 2. The neighboring primes are 1199719 and 1199767; its proper-divisor sum differs from the starting integer by -675,850.

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Prime Factor Structure

Factorization String 5 × 7^2 × 59 × 83
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 1,723,680
Proper Divisor Sum 523,915
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #1199719 ← → #1199767

Radix Representation

Decimal 1199765
Binary 100100100111010010101 (21 bits)
Octal 0o4447225
Hexadecimal 0x124E95

Divisor Catalog (5 of 24)

1 5 7 35 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.

1,199,765 3,599,296 1,799,648 899,824 449,912

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