652,000

2⁵ × 5³ × 163

652,000 has the prime decomposition 2^5 × 5^3 × 163. Its 3 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2^5 × 5^3 × 163

Distinct Prime Factors 3

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 1,611,792

Proper Divisor Sum 959,792

Digit Sum / Digital Root 13 (Root: 4)

Adjacent Primes #651997 ← → #652019

Radix Representation

Decimal	652000
Binary	10011111001011100000 (20 bits)
Octal	0o2371340
Hexadecimal	0x9F2E0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 163 200 250 326 400 500 652 800 815 1,000 1,304 1,630 2,000 2,608 3,260 4,000 4,075 5,216 6,520 8,150 13,040 16,300 20,375 26,080 32,600 40,750 65,200 81,500 130,400 163,000 326,000 652,000

Collatz Trajectory (40 steps to reach 1)

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

652,000 326,000 163,000 81,500 40,750 20,375 61,126 30,563 91,690 45,845 137,536 68,768 34,384 17,192 8,596 4,298 2,149 6,448 3,224 1,612 806 403 1,210 605 1,816 908 454 227 682 341 1,024 512 256 128 64 32 16 8 4 2 1

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