λ
Harmonic Matrix

4,701,654

2 × 32 × 29 × 9007
Abundant Even Composite

4,701,654 has digital root 9. The neighboring primes are 4701643 and 4701661; its proper-divisor sum differs from the starting integer by 1,136,052.

Prime Factor Structure

Factorization String 2 × 3^2 × 29 × 9007
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 10,539,360
Proper Divisor Sum 5,837,706
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #4701643 ← → #4701661

Radix Representation

Decimal 4701654
Binary 10001111011110111010110 (23 bits)
Octal 0o21736726
Hexadecimal 0x47BDD6

Divisor Catalog (24)

Collatz Trajectory (162 steps to reach 1)

Iterative sequence n → n/2 (if even) or 3n+1 (if odd):

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