9,376,500

2² × 3 × 5³ × 7 × 19 × 47

9,376,500 has the prime decomposition 2^2 × 3 × 5^3 × 7 × 19 × 47. Its 6 distinct prime factors produce 192 positive divisors.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^3 × 7 × 19 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 192

Divisor Sum (σ) 33,546,240

Proper Divisor Sum 24,169,740

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9376489 ← → #9376501

Radix Representation

Decimal	9376500
Binary	100011110001001011110100 (24 bits)
Octal	0o43611364
Hexadecimal	0x8F12F4

Divisor Catalog (60 of 192)

1 2 3 4 5 6 7 10 12 14 15 19 20 21 25 28 30 35 38 42 47 50 57 60 70 75 76 84 94 95 100 105 114 125 133 140 141 150 175 188 190 210 228 235 250 266 282 285 300 329 350 375 380 399 420 470 475 500 525 532

Collatz Trajectory (155 steps to reach 1)

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

9,376,500 4,688,250 2,344,125 7,032,376 3,516,188 1,758,094 879,047 2,637,142 1,318,571 3,955,714 1,977,857 5,933,572 2,966,786 1,483,393 4,450,180 2,225,090 1,112,545 3,337,636 1,668,818 834,409 2,503,228 1,251,614 625,807 1,877,422 938,711 2,816,134 1,408,067 4,224,202 2,112,101 6,336,304 3,168,152 1,584,076 792,038 396,019 1,188,058 594,029 1,782,088 891,044 445,522 222,761 668,284 334,142 167,071 501,214 250,607 751,822 375,911 1,127,734 563,867 1,691,602 845,801 2,537,404 1,268,702 634,351 1,903,054 951,527 2,854,582 1,427,291 4,281,874 2,140,937

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