λ
Sigma Notebook

133,725

3 × 52 × 1783
Deficient Odd Composite

133,725 is odd and not a perfect square. Its factorization is 3 × 5^2 × 1783 and its 12 divisors sum to 221,216.

Prime Factor Structure

Factorization String 3 × 5^2 × 1783
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 12
Divisor Sum (σ) 221,216
Proper Divisor Sum 87,491
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #133723 ← → #133733

Radix Representation

Decimal 133725
Binary 100000101001011101 (18 bits)
Octal 0o405135
Hexadecimal 0x20A5D

Divisor Catalog (12)

1 3 5 15 25 75 1,783 5,349 8,915 26,745 44,575 133,725

Collatz Trajectory (131 steps to reach 1)

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

133,725 401,176 200,588 100,294 50,147 150,442 75,221 225,664 112,832 56,416 28,208 14,104 7,052 3,526 1,763 5,290 2,645 7,936 3,968 1,984 992 496 248 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310 155 466 233 700 350 175 526 263 790 395 1,186 593 1,780 890

More profiles

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