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Atlas › Integer Profiles › Node 9,704,440

9,704,440

23 × 5 × 19 × 1132
Abundant Even Composite

Prime Factor Structure

Factorization String 2^3 × 5 × 19 × 113^2
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 23,189,400
Proper Divisor Sum 13,484,960
Digit Sum / Digital Root 28 (Root: 1)
Adjacent Primes #9704423 ← → #9704441

Radix Representation

Decimal 9704440
Binary 100101000001001111111000 (24 bits)
Octal 0o45011770
Hexadecimal 0x9413F8

Divisor Catalog (48)

1 2 4 5 8 10 19 20 38 40 76 95 113 152 190 226 380 452 565 760 904 1,130 2,147 2,260 4,294 4,520 8,588 10,735 12,769 17,176 21,470 25,538 42,940 51,076 63,845 85,880 102,152 127,690 242,611 255,380 485,222 510,760 970,444 1,213,055 1,940,888 2,426,110 4,852,220 9,704,440

Collatz Trajectory (300 steps to reach 1)

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

9,704,440 4,852,220 2,426,110 1,213,055 3,639,166 1,819,583 5,458,750 2,729,375 8,188,126 4,094,063 12,282,190 6,141,095 18,423,286 9,211,643 27,634,930 13,817,465 41,452,396 20,726,198 10,363,099 31,089,298 15,544,649 46,633,948 23,316,974 11,658,487 34,975,462 17,487,731 52,463,194 26,231,597 78,694,792 39,347,396 19,673,698 9,836,849 29,510,548 14,755,274 7,377,637 22,132,912 11,066,456 5,533,228 2,766,614 1,383,307 4,149,922 2,074,961 6,224,884 3,112,442 1,556,221 4,668,664 2,334,332 1,167,166 583,583 1,750,750 875,375 2,626,126 1,313,063 3,939,190 1,969,595 5,908,786 2,954,393 8,863,180 4,431,590 2,215,795

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