285,960

2³ × 3 × 5 × 2383

285,960 factors as 2^3 × 3 × 5 × 2383. Its 32 positive divisors give a proper-divisor sum of 572,280, so this integer is abundant. The Collatz stopping time is 127 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 2383

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 32

Divisor Sum (σ) 858,240

Proper Divisor Sum 572,280

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #285953 ← → #285977

Radix Representation

Decimal	285960
Binary	1000101110100001000 (19 bits)
Octal	0o1056410
Hexadecimal	0x45D08

Divisor Catalog (32)

1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 2,383 4,766 7,149 9,532 11,915 14,298 19,064 23,830 28,596 35,745 47,660 57,192 71,490 95,320 142,980 285,960

Collatz Trajectory (127 steps to reach 1)

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

285,960 142,980 71,490 35,745 107,236 53,618 26,809 80,428 40,214 20,107 60,322 30,161 90,484 45,242 22,621 67,864 33,932 16,966 8,483 25,450 12,725 38,176 19,088 9,544 4,772 2,386 1,193 3,580 1,790 895 2,686 1,343 4,030 2,015 6,046 3,023 9,070 4,535 13,606 6,803 20,410 10,205 30,616 15,308 7,654 3,827 11,482 5,741 17,224 8,612 4,306 2,153 6,460 3,230 1,615 4,846 2,423 7,270 3,635 10,906

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