λ
Prime Ledger

46,541

11 × 4231
Deficient Odd Composite

46,541 has the prime decomposition 11 × 4231. Its 2 distinct prime factors produce 4 positive divisors.

Prime Factor Structure

Factorization String 11 × 4231
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 4
Divisor Sum (σ) 50,784
Proper Divisor Sum 4,243
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #46523 ← → #46549

Radix Representation

Decimal 46541
Binary 1011010111001101 (16 bits)
Octal 0o132715
Hexadecimal 0xB5CD

Divisor Catalog (4)

1 11 4,231 46,541

Collatz Trajectory (145 steps to reach 1)

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

46,541 139,624 69,812 34,906 17,453 52,360 26,180 13,090 6,545 19,636 9,818 4,909 14,728 7,364 3,682 1,841 5,524 2,762 1,381 4,144 2,072 1,036 518 259 778 389 1,168 584 292 146 73 220 110 55 166 83 250 125 376 188 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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