λ
Harmonic Matrix

5,381,817

3 × 72 × 31 × 1181
Deficient Odd Composite

5,381,817 has digital root 6. The neighboring primes are 5381813 and 5381819; its proper-divisor sum differs from the starting integer by -2,139,762.

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Prime Factor Structure

Factorization String 3 × 7^2 × 31 × 1181
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,623,872
Proper Divisor Sum 3,242,055
Digit Sum / Digital Root 33 (Root: 6)
Adjacent Primes #5381813 ← → #5381819

Radix Representation

Decimal 5381817
Binary 10100100001111010111001 (23 bits)
Octal 0o24417271
Hexadecimal 0x521EB9

Divisor Catalog (5 of 24)

1 3 7 21 31

Collatz Trajectory (232 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.

5,381,817 16,145,452 8,072,726 4,036,363 12,109,090

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