λ
Harmonic Matrix

460,096

26 × 7 × 13 × 79
Abundant Even Composite

460,096 has digital root 7. The neighboring primes are 460091 and 460099; its proper-divisor sum differs from the starting integer by 217,728.

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Prime Factor Structure

Factorization String 2^6 × 7 × 13 × 79
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 1,137,920
Proper Divisor Sum 677,824
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #460091 ← → #460099

Radix Representation

Decimal 460096
Binary 1110000010101000000 (19 bits)
Octal 0o1602500
Hexadecimal 0x70540

Divisor Catalog (5 of 56)

1 2 4 7 8

Collatz Trajectory (125 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.

460,096 230,048 115,024 57,512 28,756

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