λ
Harmonic Matrix

1,102,772

22 × 11 × 71 × 353
Deficient Even Composite

1,102,772 has digital root 2. The neighboring primes are 1102757 and 1102813; its proper-divisor sum differs from the starting integer by -64,552.

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Prime Factor Structure

Factorization String 2^2 × 11 × 71 × 353
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 2,140,992
Proper Divisor Sum 1,038,220
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #1102757 ← → #1102813

Radix Representation

Decimal 1102772
Binary 100001101001110110100 (21 bits)
Octal 0o4151664
Hexadecimal 0x10D3B4

Divisor Catalog (5 of 24)

1 2 4 11 22

Collatz Trajectory (85 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.

1,102,772 551,386 275,693 827,080 413,540

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