λ
Harmonic Matrix

8,072,212

22 × 17 × 118709
Deficient Even Composite

8,072,212 has digital root 4. The neighboring primes are 8072209 and 8072219; its proper-divisor sum differs from the starting integer by -1,186,964.

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Prime Factor Structure

Factorization String 2^2 × 17 × 118709
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 14,957,460
Proper Divisor Sum 6,885,248
Digit Sum / Digital Root 22 (Root: 4)
Adjacent Primes #8072209 ← → #8072219

Radix Representation

Decimal 8072212
Binary 11110110010110000010100 (23 bits)
Octal 0o36626024
Hexadecimal 0x7B2C14

Divisor Catalog (5 of 12)

1 2 4 17 34

Collatz Trajectory (62 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.

8,072,212 4,036,106 2,018,053 6,054,160 3,027,080

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