46,362

2 × 3 × 7727

46,362 has digital root 3. The neighboring primes are 46351 and 46381; its proper-divisor sum differs from the starting integer by 12.

Prime Factor Structure

Factorization String 2 × 3 × 7727

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 8

Divisor Sum (σ) 92,736

Proper Divisor Sum 46,374

Digit Sum / Digital Root 21 (Root: 3)

Adjacent Primes #46351 ← → #46381

Radix Representation

Decimal	46362
Binary	1011010100011010 (16 bits)
Octal	0o132432
Hexadecimal	0xB51A

Divisor Catalog (8)

1 2 3 6 7,727 15,454 23,181 46,362

Collatz Trajectory (145 steps to reach 1)

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

46,362 23,181 69,544 34,772 17,386 8,693 26,080 13,040 6,520 3,260 1,630 815 2,446 1,223 3,670 1,835 5,506 2,753 8,260 4,130 2,065 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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