λ
Harmonic Matrix

147,767

107 × 1381
Deficient Odd Composite

147,767 has digital root 5. The neighboring primes are 147761 and 147769; its proper-divisor sum differs from the starting integer by -146,278.

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Prime Factor Structure

Factorization String 107 × 1381
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 149,256
Proper Divisor Sum 1,489
Digit Sum / Digital Root 32 (Root: 5)
Adjacent Primes #147761 ← → #147769

Radix Representation

Decimal 147767
Binary 100100000100110111 (18 bits)
Octal 0o440467
Hexadecimal 0x24137

Divisor Catalog (4)

1 107 1,381 147,767

Collatz Trajectory (82 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.

147,767 443,302 221,651 664,954 332,477

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