λ
Harmonic Matrix

240,317

7 × 11 × 3121
Deficient Odd Composite

240,317 has digital root 8. The neighboring primes are 240287 and 240319; its proper-divisor sum differs from the starting integer by -180,922.

Prime Factor Structure

Factorization String 7 × 11 × 3121
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 299,712
Proper Divisor Sum 59,395
Digit Sum / Digital Root 17 (Root: 8)
Adjacent Primes #240287 ← → #240319

Radix Representation

Decimal 240317
Binary 111010101010111101 (18 bits)
Octal 0o725275
Hexadecimal 0x3AABD

Divisor Catalog (8)

1 7 11 77 3,121 21,847 34,331 240,317

Collatz Trajectory (137 steps to reach 1)

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

240,317 720,952 360,476 180,238 90,119 270,358 135,179 405,538 202,769 608,308 304,154 152,077 456,232 228,116 114,058 57,029 171,088 85,544 42,772 21,386 10,693 32,080 16,040 8,020 4,010 2,005 6,016 3,008 1,504 752 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263

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