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Atlas › Integer Profiles › Node 8,664,264

8,664,264

23 × 32 × 7 × 17191
Abundant Even Composite

8,664,264 factors as 2^3 × 3^2 × 7 × 17191. Its 48 positive divisors give a proper-divisor sum of 18,155,256, so this integer is abundant. The Collatz stopping time is 67 steps.

Prime Factor Structure

Factorization String 2^3 × 3^2 × 7 × 17191
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 26,819,520
Proper Divisor Sum 18,155,256
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8664259 ← → #8664311

Radix Representation

Decimal 8664264
Binary 100001000011010011001000 (24 bits)
Octal 0o41032310
Hexadecimal 0x8434C8

Divisor Catalog (48)

1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 17,191 34,382 51,573 68,764 103,146 120,337 137,528 154,719 206,292 240,674 309,438 361,011 412,584 481,348 618,876 722,022 962,696 1,083,033 1,237,752 1,444,044 2,166,066 2,888,088 4,332,132 8,664,264

Collatz Trajectory (67 steps to reach 1)

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

8,664,264 4,332,132 2,166,066 1,083,033 3,249,100 1,624,550 812,275 2,436,826 1,218,413 3,655,240 1,827,620 913,810 456,905 1,370,716 685,358 342,679 1,028,038 514,019 1,542,058 771,029 2,313,088 1,156,544 578,272 289,136 144,568 72,284 36,142 18,071 54,214 27,107 81,322 40,661 121,984 60,992 30,496 15,248 7,624 3,812 1,906 953 2,860 1,430 715 2,146 1,073 3,220 1,610 805 2,416 1,208 604 302 151 454 227 682 341 1,024 512 256

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