λ
Harmonic Matrix

1,527,496

23 × 41 × 4657
Deficient Even Composite

1,527,496 has digital root 7. The neighboring primes are 1527457 and 1527497; its proper-divisor sum differs from the starting integer by -120,452.

Prime Factor Structure

Factorization String 2^3 × 41 × 4657
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 2,934,540
Proper Divisor Sum 1,407,044
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #1527457 ← → #1527497

Radix Representation

Decimal 1527496
Binary 101110100111011001000 (21 bits)
Octal 0o5647310
Hexadecimal 0x174EC8

Divisor Catalog (16)

Collatz Trajectory (57 steps to reach 1)

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

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