9,952,425

3² × 5² × 7 × 71 × 89

9,952,425 has the prime decomposition 3^2 × 5^2 × 7 × 71 × 89. Its 5 distinct prime factors produce 72 positive divisors.

Prime Factor Structure

Factorization String 3^2 × 5^2 × 7 × 71 × 89

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 20,891,520

Proper Divisor Sum 10,939,095

Digit Sum / Digital Root 36 (Root: 9)

Adjacent Primes #9952421 ← → #9952427

Radix Representation

Decimal	9952425
Binary	100101111101110010101001 (24 bits)
Octal	0o45756251
Hexadecimal	0x97DCA9

Divisor Catalog (60 of 72)

1 3 5 7 9 15 21 25 35 45 63 71 75 89 105 175 213 225 267 315 355 445 497 525 623 639 801 1,065 1,335 1,491 1,575 1,775 1,869 2,225 2,485 3,115 3,195 4,005 4,473 5,325 5,607 6,319 6,675 7,455 9,345 12,425 15,575 15,975 18,957 20,025 22,365 28,035 31,595 37,275 44,233 46,725 56,871 94,785 111,825 132,699

Collatz Trajectory (207 steps to reach 1)

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

9,952,425 29,857,276 14,928,638 7,464,319 22,392,958 11,196,479 33,589,438 16,794,719 50,384,158 25,192,079 75,576,238 37,788,119 113,364,358 56,682,179 170,046,538 85,023,269 255,069,808 127,534,904 63,767,452 31,883,726 15,941,863 47,825,590 23,912,795 71,738,386 35,869,193 107,607,580 53,803,790 26,901,895 80,705,686 40,352,843 121,058,530 60,529,265 181,587,796 90,793,898 45,396,949 136,190,848 68,095,424 34,047,712 17,023,856 8,511,928 4,255,964 2,127,982 1,063,991 3,191,974 1,595,987 4,787,962 2,393,981 7,181,944 3,590,972 1,795,486 897,743 2,693,230 1,346,615 4,039,846 2,019,923 6,059,770 3,029,885 9,089,656 4,544,828 2,272,414

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