λ
Prime Ledger

125,229

3 × 133 × 19
Deficient Odd Composite

125,229 has the prime decomposition 3 × 13^3 × 19. Its 3 distinct prime factors produce 16 positive divisors.

Prime Factor Structure

Factorization String 3 × 13^3 × 19
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 190,400
Proper Divisor Sum 65,171
Digit Sum / Digital Root 21 (Root: 3)
Adjacent Primes #125221 ← → #125231

Radix Representation

Decimal 125229
Binary 11110100100101101 (17 bits)
Octal 0o364455
Hexadecimal 0x1E92D

Divisor Catalog (16)

1 3 13 19 39 57 169 247 507 741 2,197 3,211 6,591 9,633 41,743 125,229

Collatz Trajectory (149 steps to reach 1)

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

125,229 375,688 187,844 93,922 46,961 140,884 70,442 35,221 105,664 52,832 26,416 13,208 6,604 3,302 1,651 4,954 2,477 7,432 3,716 1,858 929 2,788 1,394 697 2,092 1,046 523 1,570 785 2,356 1,178 589 1,768 884 442 221 664 332 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137

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