9,648,300

2² × 3 × 5² × 29 × 1109

9,648,300 has digital root 3. The neighboring primes are 9648277 and 9648307; its proper-divisor sum differs from the starting integer by 9,607,800.

Prime Factor Structure

Factorization String 2^2 × 3 × 5^2 × 29 × 1109

Distinct Prime Factors 5

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 72

Divisor Sum (σ) 28,904,400

Proper Divisor Sum 19,256,100

Digit Sum / Digital Root 30 (Root: 3)

Adjacent Primes #9648277 ← → #9648307

Radix Representation

Decimal	9648300
Binary	100100110011100010101100 (24 bits)
Octal	0o44634254
Hexadecimal	0x9338AC

Divisor Catalog (60 of 72)

1 2 3 4 5 6 10 12 15 20 25 29 30 50 58 60 75 87 100 116 145 150 174 290 300 348 435 580 725 870 1,109 1,450 1,740 2,175 2,218 2,900 3,327 4,350 4,436 5,545 6,654 8,700 11,090 13,308 16,635 22,180 27,725 32,161 33,270 55,450 64,322 66,540 83,175 96,483 110,900 128,644 160,805 166,350 192,966 321,610

Collatz Trajectory (145 steps to reach 1)

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

9,648,300 4,824,150 2,412,075 7,236,226 3,618,113 10,854,340 5,427,170 2,713,585 8,140,756 4,070,378 2,035,189 6,105,568 3,052,784 1,526,392 763,196 381,598 190,799 572,398 286,199 858,598 429,299 1,287,898 643,949 1,931,848 965,924 482,962 241,481 724,444 362,222 181,111 543,334 271,667 815,002 407,501 1,222,504 611,252 305,626 152,813 458,440 229,220 114,610 57,305 171,916 85,958 42,979 128,938 64,469 193,408 96,704 48,352 24,176 12,088 6,044 3,022 1,511 4,534 2,267 6,802 3,401 10,204

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