λ
Harmonic Matrix

3,682,012

22 × 137 × 6719
Deficient Even Composite

3,682,012 has digital root 4. The neighboring primes are 3681967 and 3682031; its proper-divisor sum differs from the starting integer by -872,504.

Link collection

External pages selected by the site administrator. These links are separate from the mathematical calculations below.

Download link list (JSON)

Prime Factor Structure

Factorization String 2^2 × 137 × 6719
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 6,491,520
Proper Divisor Sum 2,809,508
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #3681967 ← → #3682031

Radix Representation

Decimal 3682012
Binary 1110000010111011011100 (22 bits)
Octal 0o16027334
Hexadecimal 0x382EDC

Divisor Catalog (5 of 12)

1 2 4 137 274

Collatz Trajectory (265 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.

More profiles

Browse other published profiles and their separate link collections.

← Previous Integer #3,682,011 Browse Full Index Next Integer #3,682,013 →