λ
Harmonic Matrix

3,656,972

22 × 11 × 17 × 4889
Abundant Even Composite

3,656,972 has digital root 2. The neighboring primes are 3656953 and 3656981; its proper-divisor sum differs from the starting integer by 79,736.

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Prime Factor Structure

Factorization String 2^2 × 11 × 17 × 4889
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 7,393,680
Proper Divisor Sum 3,736,708
Digit Sum / Digital Root 38 (Root: 2)
Adjacent Primes #3656953 ← → #3656981

Radix Representation

Decimal 3656972
Binary 1101111100110100001100 (22 bits)
Octal 0o15746414
Hexadecimal 0x37CD0C

Divisor Catalog (5 of 24)

1 2 4 11 17

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.

3,656,972 1,828,486 914,243 2,742,730 1,371,365

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