λ
Harmonic Matrix

262,748

22 × 65687
Deficient Even Composite

262,748 has digital root 2. The neighboring primes are 262747 and 262781; its proper-divisor sum differs from the starting integer by -65,680.

Prime Factor Structure

Factorization String 2^2 × 65687
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 6
Divisor Sum (σ) 459,816
Proper Divisor Sum 197,068
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #262747 ← → #262781

Radix Representation

Decimal 262748
Binary 1000000001001011100 (19 bits)
Octal 0o1001134
Hexadecimal 0x4025C

Divisor Catalog (6)

1 2 4 65,687 131,374 262,748

Collatz Trajectory (44 steps to reach 1)

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

262,748 131,374 65,687 197,062 98,531 295,594 147,797 443,392 221,696 110,848 55,424 27,712 13,856 6,928 3,464 1,732 866 433 1,300 650 325 976 488 244 122 61 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8 4 2 1

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