λ
Harmonic Matrix

572,672

28 × 2237
Deficient Even Composite

572,672 has digital root 2. The neighboring primes are 572659 and 572683; its proper-divisor sum differs from the starting integer by -1,726.

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Prime Factor Structure

Factorization String 2^8 × 2237
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 18
Divisor Sum (σ) 1,143,618
Proper Divisor Sum 570,946
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #572659 ← → #572683

Radix Representation

Decimal 572672
Binary 10001011110100000000 (20 bits)
Octal 0o2136400
Hexadecimal 0x8BD00

Divisor Catalog (5 of 18)

1 2 4 8 16

Collatz Trajectory (97 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.

572,672 286,336 143,168 71,584 35,792

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