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Atlas › Integer Profiles › Node 8,969,727

8,969,727

3 × 13 × 17 × 83 × 163
Deficient Odd Composite

Prime Factor Structure

Factorization String 3 × 13 × 17 × 83 × 163
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 13,886,208
Proper Divisor Sum 4,916,481
Digit Sum / Digital Root 48 (Root: 3)
Adjacent Primes #8969717 ← → #8969731

Radix Representation

Decimal 8969727
Binary 100010001101110111111111 (24 bits)
Octal 0o42156777
Hexadecimal 0x88DDFF

Divisor Catalog (32)

1 3 13 17 39 51 83 163 221 249 489 663 1,079 1,411 2,119 2,771 3,237 4,233 6,357 8,313 13,529 18,343 36,023 40,587 55,029 108,069 175,877 229,993 527,631 689,979 2,989,909 8,969,727

Collatz Trajectory (248 steps to reach 1)

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

8,969,727 26,909,182 13,454,591 40,363,774 20,181,887 60,545,662 30,272,831 90,818,494 45,409,247 136,227,742 68,113,871 204,341,614 102,170,807 306,512,422 153,256,211 459,768,634 229,884,317 689,652,952 344,826,476 172,413,238 86,206,619 258,619,858 129,309,929 387,929,788 193,964,894 96,982,447 290,947,342 145,473,671 436,421,014 218,210,507 654,631,522 327,315,761 981,947,284 490,973,642 245,486,821 736,460,464 368,230,232 184,115,116 92,057,558 46,028,779 138,086,338 69,043,169 207,129,508 103,564,754 51,782,377 155,347,132 77,673,566 38,836,783 116,510,350 58,255,175 174,765,526 87,382,763 262,148,290 131,074,145 393,222,436 196,611,218 98,305,609 294,916,828 147,458,414 73,729,207

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