46,368

2⁵ × 3² × 7 × 23

Prime Factor Structure

Factorization String 2^5 × 3^2 × 7 × 23

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 157,248

Proper Divisor Sum 110,880

Digit Sum / Digital Root 27 (Root: 9)

Adjacent Primes #46351 ← → #46381

Radix Representation

Decimal	46368
Binary	1011010100100000 (16 bits)
Octal	0o132440
Hexadecimal	0xB520

Divisor Catalog (60 of 72)

1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 32 36 42 46 48 56 63 69 72 84 92 96 112 126 138 144 161 168 184 207 224 252 276 288 322 336 368 414 483 504 552 644 672 736 828 966 1,008 1,104 1,288 1,449 1,656 1,932 2,016 2,208

Collatz Trajectory (145 steps to reach 1)

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

46,368 23,184 11,592 5,796 2,898 1,449 4,348 2,174 1,087 3,262 1,631 4,894 2,447 7,342 3,671 11,014 5,507 16,522 8,261 24,784 12,392 6,196 3,098 1,549 4,648 2,324 1,162 581 1,744 872 436 218 109 328 164 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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