λ
Harmonic Matrix

1,514,752

28 × 61 × 97
Abundant Even Composite

1,514,752 has digital root 7. The neighboring primes are 1514749 and 1514783; its proper-divisor sum differs from the starting integer by 75,332.

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Prime Factor Structure

Factorization String 2^8 × 61 × 97
Distinct Prime Factors 3
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 3,104,836
Proper Divisor Sum 1,590,084
Digit Sum / Digital Root 25 (Root: 7)
Adjacent Primes #1514749 ← → #1514783

Radix Representation

Decimal 1514752
Binary 101110001110100000000 (21 bits)
Octal 0o5616400
Hexadecimal 0x171D00

Divisor Catalog (5 of 36)

1 2 4 8 16

Collatz Trajectory (106 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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