23,784

2³ × 3 × 991

23,784 is even and not a perfect square. Its factorization is 2^3 × 3 × 991 and its 16 divisors sum to 59,520.

Prime Factor Structure

Factorization String 2^3 × 3 × 991

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 16

Divisor Sum (σ) 59,520

Proper Divisor Sum 35,736

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #23773 ← → #23789

Radix Representation

Decimal	23784
Binary	101110011101000 (15 bits)
Octal	0o56350
Hexadecimal	0x5CE8

Divisor Catalog (16)

1 2 3 4 6 8 12 24 991 1,982 2,973 3,964 5,946 7,928 11,892 23,784

Collatz Trajectory (100 steps to reach 1)

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

23,784 11,892 5,946 2,973 8,920 4,460 2,230 1,115 3,346 1,673 5,020 2,510 1,255 3,766 1,883 5,650 2,825 8,476 4,238 2,119 6,358 3,179 9,538 4,769 14,308 7,154 3,577 10,732 5,366 2,683 8,050 4,025 12,076 6,038 3,019 9,058 4,529 13,588 6,794 3,397 10,192 5,096 2,548 1,274 637 1,912 956 478 239 718 359 1,078 539 1,618 809 2,428 1,214 607 1,822 911

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