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Atlas › Integer Profiles › Node 8,909,760

8,909,760

26 × 3 × 5 × 9281
Abundant Even Composite

Prime Factor Structure

Factorization String 2^6 × 3 × 5 × 9281
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 56
Divisor Sum (σ) 28,291,536
Proper Divisor Sum 19,381,776
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #8909759 ← → #8909773

Radix Representation

Decimal 8909760
Binary 100001111111001111000000 (24 bits)
Octal 0o41771700
Hexadecimal 0x87F3C0

Divisor Catalog (56)

1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 9,281 18,562 27,843 37,124 46,405 55,686 74,248 92,810 111,372 139,215 148,496 185,620 222,744 278,430 296,992 371,240 445,488 556,860 593,984 742,480 890,976 1,113,720 1,484,960 1,781,952 2,227,440 2,969,920 4,454,880 8,909,760

Collatz Trajectory (62 steps to reach 1)

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

8,909,760 4,454,880 2,227,440 1,113,720 556,860 278,430 139,215 417,646 208,823 626,470 313,235 939,706 469,853 1,409,560 704,780 352,390 176,195 528,586 264,293 792,880 396,440 198,220 99,110 49,555 148,666 74,333 223,000 111,500 55,750 27,875 83,626 41,813 125,440 62,720 31,360 15,680 7,840 3,920 1,960 980 490 245 736 368 184 92 46 23 70 35 106 53 160 80 40 20 10 5 16 8

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