46,251

3⁴ × 571

46,251 is odd and not a perfect square. Its factorization is 3^4 × 571 and its 10 divisors sum to 69,212.

Prime Factor Structure

Factorization String 3^4 × 571

Distinct Prime Factors 2

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 10

Divisor Sum (σ) 69,212

Proper Divisor Sum 22,961

Digit Sum / Digital Root 18 (Root: 9)

Adjacent Primes #46237 ← → #46261

Radix Representation

Decimal	46251
Binary	1011010010101011 (16 bits)
Octal	0o132253
Hexadecimal	0xB4AB

Divisor Catalog (10)

1 3 9 27 81 571 1,713 5,139 15,417 46,251

Collatz Trajectory (145 steps to reach 1)

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

46,251 138,754 69,377 208,132 104,066 52,033 156,100 78,050 39,025 117,076 58,538 29,269 87,808 43,904 21,952 10,976 5,488 2,744 1,372 686 343 1,030 515 1,546 773 2,320 1,160 580 290 145 436 218 109 328 164 82 41 124 62 31 94 47 142 71 214 107 322 161 484 242 121 364 182 91 274 137 412 206 103 310

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