λ
Harmonic Matrix

120,760

23 × 5 × 3019
Abundant Even Composite

120,760 has digital root 7. The neighboring primes are 120749 and 120763; its proper-divisor sum differs from the starting integer by 30,280.

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Prime Factor Structure

Factorization String 2^3 × 5 × 3019
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 271,800
Proper Divisor Sum 151,040
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #120749 ← → #120763

Radix Representation

Decimal 120760
Binary 11101011110111000 (17 bits)
Octal 0o353670
Hexadecimal 0x1D7B8

Divisor Catalog (5 of 16)

1 2 4 5 8

Collatz Trajectory (118 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.

120,760 60,380 30,190 15,095 45,286

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