λ
Prime Ledger

240,195

3 × 5 × 67 × 239
Deficient Odd Composite

240,195 has the prime decomposition 3 × 5 × 67 × 239. Its 4 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 5 × 67 × 239
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 391,680
Proper Divisor Sum 151,485
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #240173 ← → #240197

Radix Representation

Decimal 240195
Binary 111010101001000011 (18 bits)
Octal 0o725103
Hexadecimal 0x3AA43

Divisor Catalog (16)

1 3 5 15 67 201 239 335 717 1,005 1,195 3,585 16,013 48,039 80,065 240,195

Collatz Trajectory (181 steps to reach 1)

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

240,195 720,586 360,293 1,080,880 540,440 270,220 135,110 67,555 202,666 101,333 304,000 152,000 76,000 38,000 19,000 9,500 4,750 2,375 7,126 3,563 10,690 5,345 16,036 8,018 4,009 12,028 6,014 3,007 9,022 4,511 13,534 6,767 20,302 10,151 30,454 15,227 45,682 22,841 68,524 34,262 17,131 51,394 25,697 77,092 38,546 19,273 57,820 28,910 14,455 43,366 21,683 65,050 32,525 97,576 48,788 24,394 12,197 36,592 18,296 9,148

More profiles

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