8,973,240

2³ × 3 × 5 × 37 × 43 × 47

8,973,240 has the prime decomposition 2^3 × 3 × 5 × 37 × 43 × 47. Its 6 distinct prime factors produce 128 positive divisors.

Prime Factor Structure

Factorization String 2^3 × 3 × 5 × 37 × 43 × 47

Distinct Prime Factors 6

Square Status No

Abundance Measure Abundant

Analytical Properties

Total Divisors 128

Divisor Sum (σ) 28,892,160

Proper Divisor Sum 19,918,920

Digit Sum / Digital Root 33 (Root: 6)

Adjacent Primes #8973221 ← → #8973241

Radix Representation

Decimal	8973240
Binary	100010001110101110111000 (24 bits)
Octal	0o42165670
Hexadecimal	0x88EBB8

Divisor Catalog (60 of 128)

1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 43 47 60 74 86 94 111 120 129 141 148 172 185 188 215 222 235 258 282 296 344 370 376 430 444 470 516 555 564 645 705 740 860 888 940 1,032 1,110 1,128 1,290 1,410 1,480 1,591 1,720 1,739 1,880

Collatz Trajectory (150 steps to reach 1)

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

8,973,240 4,486,620 2,243,310 1,121,655 3,364,966 1,682,483 5,047,450 2,523,725 7,571,176 3,785,588 1,892,794 946,397 2,839,192 1,419,596 709,798 354,899 1,064,698 532,349 1,597,048 798,524 399,262 199,631 598,894 299,447 898,342 449,171 1,347,514 673,757 2,021,272 1,010,636 505,318 252,659 757,978 378,989 1,136,968 568,484 284,242 142,121 426,364 213,182 106,591 319,774 159,887 479,662 239,831 719,494 359,747 1,079,242 539,621 1,618,864 809,432 404,716 202,358 101,179 303,538 151,769 455,308 227,654 113,827 341,482

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