λ
Prime Ledger

8,704,170

2 × 32 × 5 × 17 × 5689
Abundant Even Composite

8,704,170 has the prime decomposition 2 × 3^2 × 5 × 17 × 5689. Its 5 distinct prime factors produce 48 positive divisors.

Prime Factor Structure

Factorization String 2 × 3^2 × 5 × 17 × 5689
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,966,280
Proper Divisor Sum 15,262,110
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #8704169 ← → #8704183

Radix Representation

Decimal 8704170
Binary 100001001101000010101010 (24 bits)
Octal 0o41150252
Hexadecimal 0x84D0AA

Divisor Catalog (48)

1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1,530 5,689 11,378 17,067 28,445 34,134 51,201 56,890 85,335 96,713 102,402 170,670 193,426 256,005 290,139 483,565 512,010 580,278 870,417 967,130 1,450,695 1,740,834 2,901,390 4,352,085 8,704,170

Collatz Trajectory (212 steps to reach 1)

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

8,704,170 4,352,085 13,056,256 6,528,128 3,264,064 1,632,032 816,016 408,008 204,004 102,002 51,001 153,004 76,502 38,251 114,754 57,377 172,132 86,066 43,033 129,100 64,550 32,275 96,826 48,413 145,240 72,620 36,310 18,155 54,466 27,233 81,700 40,850 20,425 61,276 30,638 15,319 45,958 22,979 68,938 34,469 103,408 51,704 25,852 12,926 6,463 19,390 9,695 29,086 14,543 43,630 21,815 65,446 32,723 98,170 49,085 147,256 73,628 36,814 18,407 55,222

More profiles

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