λ
Harmonic Matrix

272,360

23 × 5 × 11 × 619
Abundant Even Composite

272,360 has digital root 2. The neighboring primes are 272359 and 272369; its proper-divisor sum differs from the starting integer by 124,880.

Prime Factor Structure

Factorization String 2^3 × 5 × 11 × 619
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 669,600
Proper Divisor Sum 397,240
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #272359 ← → #272369

Radix Representation

Decimal 272360
Binary 1000010011111101000 (19 bits)
Octal 0o1023750
Hexadecimal 0x427E8

Divisor Catalog (32)

Collatz Trajectory (207 steps to reach 1)

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

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