9,462,300

2² × 3 × 5² × 31541

9,462,300 has the prime decomposition 2^2 × 3 × 5^2 × 31541. Its 4 distinct prime factors produce 36 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 31541

Distinct Prime Factors 4

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 36

Divisor Sum (σ) 27,378,456

Proper Divisor Sum 17,916,156

Digit Sum / Digital Root 24 (Root: 6)

Adjacent Primes #9462289 ← → #9462311

Radix Representation

Decimal	9462300
Binary	100100000110001000011100 (24 bits)
Octal	0o44061034
Hexadecimal	0x90621C

Divisor Catalog (36)

1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 31,541 63,082 94,623 126,164 157,705 189,246 315,410 378,492 473,115 630,820 788,525 946,230 1,577,050 1,892,460 2,365,575 3,154,100 4,731,150 9,462,300

Collatz Trajectory (124 steps to reach 1)

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

9,462,300 4,731,150 2,365,575 7,096,726 3,548,363 10,645,090 5,322,545 15,967,636 7,983,818 3,991,909 11,975,728 5,987,864 2,993,932 1,496,966 748,483 2,245,450 1,122,725 3,368,176 1,684,088 842,044 421,022 210,511 631,534 315,767 947,302 473,651 1,420,954 710,477 2,131,432 1,065,716 532,858 266,429 799,288 399,644 199,822 99,911 299,734 149,867 449,602 224,801 674,404 337,202 168,601 505,804 252,902 126,451 379,354 189,677 569,032 284,516 142,258 71,129 213,388 106,694 53,347 160,042 80,021 240,064 120,032 60,016

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