284,000

2⁵ × 5³ × 71

284,000 is even and not a perfect square. Its factorization is 2^5 × 5^3 × 71 and its 48 divisors sum to 707,616.

Prime Factor Structure

Factorization String 2^5 × 5^3 × 71

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 707,616

Proper Divisor Sum 423,616

Digit Sum / Digital Root 14 (Root: 5)

Adjacent Primes #283979 ← → #284003

Radix Representation

Decimal	284000
Binary	1000101010101100000 (19 bits)
Octal	0o1052540
Hexadecimal	0x45560

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 71 80 100 125 142 160 200 250 284 355 400 500 568 710 800 1,000 1,136 1,420 1,775 2,000 2,272 2,840 3,550 4,000 5,680 7,100 8,875 11,360 14,200 17,750 28,400 35,500 56,800 71,000 142,000 284,000

Collatz Trajectory (101 steps to reach 1)

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

284,000 142,000 71,000 35,500 17,750 8,875 26,626 13,313 39,940 19,970 9,985 29,956 14,978 7,489 22,468 11,234 5,617 16,852 8,426 4,213 12,640 6,320 3,160 1,580 790 395 1,186 593 1,780 890 445 1,336 668 334 167 502 251 754 377 1,132 566 283 850 425 1,276 638 319 958 479 1,438 719 2,158 1,079 3,238 1,619 4,858 2,429 7,288 3,644 1,822

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