7,987,350

2 × 3 × 5² × 7 × 7607

7,987,350 has the prime decomposition 2 × 3 × 5^2 × 7 × 7607. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 7607

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 48

Divisor Sum (σ) 22,641,408

Proper Divisor Sum 14,654,058

Digit Sum / Digital Root 39 (Root: 3)

Adjacent Primes #7987327 ← → #7987351

Radix Representation

Decimal	7987350
Binary	11110011110000010010110 (23 bits)
Octal	0o36360226
Hexadecimal	0x79E096

Divisor Catalog (48)

1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1,050 7,607 15,214 22,821 38,035 45,642 53,249 76,070 106,498 114,105 159,747 190,175 228,210 266,245 319,494 380,350 532,490 570,525 798,735 1,141,050 1,331,225 1,597,470 2,662,450 3,993,675 7,987,350

Collatz Trajectory (93 steps to reach 1)

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

7,987,350 3,993,675 11,981,026 5,990,513 17,971,540 8,985,770 4,492,885 13,478,656 6,739,328 3,369,664 1,684,832 842,416 421,208 210,604 105,302 52,651 157,954 78,977 236,932 118,466 59,233 177,700 88,850 44,425 133,276 66,638 33,319 99,958 49,979 149,938 74,969 224,908 112,454 56,227 168,682 84,341 253,024 126,512 63,256 31,628 15,814 7,907 23,722 11,861 35,584 17,792 8,896 4,448 2,224 1,112 556 278 139 418 209 628 314 157 472 236

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