λ
Harmonic Matrix

40,436

22 × 11 × 919
Deficient Even Composite

40,436 has digital root 8. The neighboring primes are 40433 and 40459; its proper-divisor sum differs from the starting integer by -3,592.

Prime Factor Structure

Factorization String 2^2 × 11 × 919
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 77,280
Proper Divisor Sum 36,844
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #40433 ← → #40459

Radix Representation

Decimal 40436
Binary 1001110111110100 (16 bits)
Octal 0o116764
Hexadecimal 0x9DF4

Divisor Catalog (12)

Collatz Trajectory (181 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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