λ
Harmonic Matrix

233,995

5 × 53 × 883
Deficient Odd Composite

233,995 has digital root 4. The neighboring primes are 233993 and 234007; its proper-divisor sum differs from the starting integer by -181,574.

Prime Factor Structure

Factorization String 5 × 53 × 883
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 286,416
Proper Divisor Sum 52,421
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #233993 ← → #234007

Radix Representation

Decimal 233995
Binary 111001001000001011 (18 bits)
Octal 0o711013
Hexadecimal 0x3920B

Divisor Catalog (8)

1 5 53 265 883 4,415 46,799 233,995

Collatz Trajectory (199 steps to reach 1)

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

233,995 701,986 350,993 1,052,980 526,490 263,245 789,736 394,868 197,434 98,717 296,152 148,076 74,038 37,019 111,058 55,529 166,588 83,294 41,647 124,942 62,471 187,414 93,707 281,122 140,561 421,684 210,842 105,421 316,264 158,132 79,066 39,533 118,600 59,300 29,650 14,825 44,476 22,238 11,119 33,358 16,679 50,038 25,019 75,058 37,529 112,588 56,294 28,147 84,442 42,221 126,664 63,332 31,666 15,833 47,500 23,750 11,875 35,626 17,813 53,440

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