390,000

2⁴ × 3 × 5⁴ × 13

Prime Factor Structure

Factorization String 2^4 × 3 × 5^4 × 13

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 100

Divisor Sum (σ) 1,355,816

Proper Divisor Sum 965,816

Digit Sum / Digital Root 12 (Root: 3)

Adjacent Primes #389999 ← → #390001

Radix Representation

Decimal	390000
Binary	1011111001101110000 (19 bits)
Octal	0o1371560
Hexadecimal	0x5F370

Divisor Catalog (60 of 100)

1 2 3 4 5 6 8 10 12 13 15 16 20 24 25 26 30 39 40 48 50 52 60 65 75 78 80 100 104 120 125 130 150 156 195 200 208 240 250 260 300 312 325 375 390 400 500 520 600 624 625 650 750 780 975 1,000 1,040 1,200 1,250 1,300

Collatz Trajectory (99 steps to reach 1)

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

390,000 195,000 97,500 48,750 24,375 73,126 36,563 109,690 54,845 164,536 82,268 41,134 20,567 61,702 30,851 92,554 46,277 138,832 69,416 34,708 17,354 8,677 26,032 13,016 6,508 3,254 1,627 4,882 2,441 7,324 3,662 1,831 5,494 2,747 8,242 4,121 12,364 6,182 3,091 9,274 4,637 13,912 6,956 3,478 1,739 5,218 2,609 7,828 3,914 1,957 5,872 2,936 1,468 734 367 1,102 551 1,654 827 2,482

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