9,726,000

2⁴ × 3 × 5³ × 1621

9,726,000 has the prime decomposition 2^4 × 3 × 5^3 × 1621. Its 4 distinct prime factors produce 80 positive divisors.

Prime Factor Structure

Factorization String 2^4 × 3 × 5^3 × 1621

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 80

Divisor Sum (σ) 31,375,968

Proper Divisor Sum 21,649,968

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9725959 ← → #9726001

Radix Representation

Decimal	9726000
Binary	100101000110100000110000 (24 bits)
Octal	0o45064060
Hexadecimal	0x946830

Divisor Catalog (60 of 80)

1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1,000 1,200 1,500 1,621 2,000 3,000 3,242 4,863 6,000 6,484 8,105 9,726 12,968 16,210 19,452 24,315 25,936 32,420 38,904 40,525 48,630 64,840 77,808 81,050 97,260 121,575

Collatz Trajectory (62 steps to reach 1)

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

9,726,000 4,863,000 2,431,500 1,215,750 607,875 1,823,626 911,813 2,735,440 1,367,720 683,860 341,930 170,965 512,896 256,448 128,224 64,112 32,056 16,028 8,014 4,007 12,022 6,011 18,034 9,017 27,052 13,526 6,763 20,290 10,145 30,436 15,218 7,609 22,828 11,414 5,707 17,122 8,561 25,684 12,842 6,421 19,264 9,632 4,816 2,408 1,204 602 301 904 452 226 113 340 170 85 256 128 64 32 16 8

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