λ
Harmonic Matrix

4,695,712

25 × 7 × 20963
Abundant Even Composite

4,695,712 has digital root 7. The neighboring primes are 4695701 and 4695731; its proper-divisor sum differs from the starting integer by 1,174,432.

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Prime Factor Structure

Factorization String 2^5 × 7 × 20963
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,565,856
Proper Divisor Sum 5,870,144
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #4695701 ← → #4695731

Radix Representation

Decimal 4695712
Binary 10001111010011010100000 (23 bits)
Octal 0o21723240
Hexadecimal 0x47A6A0

Divisor Catalog (5 of 24)

1 2 4 7 8

Collatz Trajectory (162 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.

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