423,788

2² × 53 × 1999

423,788 has digital root 5. The neighboring primes are 423781 and 423791; its proper-divisor sum differs from the starting integer by -91,576.

Prime Factor Structure

Factorization String 2^2 × 53 × 1999

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 756,000

Proper Divisor Sum 332,212

Digit Sum / Digital Root 32 (Root: 5)

Adjacent Primes #423781 ← → #423791

Radix Representation

Decimal	423788
Binary	1100111011101101100 (19 bits)
Octal	0o1473554
Hexadecimal	0x6776C

Divisor Catalog (12)

1 2 4 53 106 212 1,999 3,998 7,996 105,947 211,894 423,788

Collatz Trajectory (81 steps to reach 1)

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

423,788 211,894 105,947 317,842 158,921 476,764 238,382 119,191 357,574 178,787 536,362 268,181 804,544 402,272 201,136 100,568 50,284 25,142 12,571 37,714 18,857 56,572 28,286 14,143 42,430 21,215 63,646 31,823 95,470 47,735 143,206 71,603 214,810 107,405 322,216 161,108 80,554 40,277 120,832 60,416 30,208 15,104 7,552 3,776 1,888 944 472 236 118 59 178 89 268 134 67 202 101 304 152 76

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