λ
Sigma Notebook

159,345

32 × 5 × 3541
Deficient Odd Composite

159,345 is odd and not a perfect square. Its factorization is 3^2 × 5 × 3541 and its 12 divisors sum to 276,276.

Prime Factor Structure

Factorization String 3^2 × 5 × 3541
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 276,276
Proper Divisor Sum 116,931
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #159337 ← → #159347

Radix Representation

Decimal 159345
Binary 100110111001110001 (18 bits)
Octal 0o467161
Hexadecimal 0x26E71

Divisor Catalog (12)

1 3 5 9 15 45 3,541 10,623 17,705 31,869 53,115 159,345

Collatz Trajectory (46 steps to reach 1)

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

159,345 478,036 239,018 119,509 358,528 179,264 89,632 44,816 22,408 11,204 5,602 2,801 8,404 4,202 2,101 6,304 3,152 1,576 788 394 197 592 296 148 74 37 112 56 28 14 7 22 11 34 17 52 26 13 40 20 10 5 16 8 4 2 1

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