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Atlas › Integer Profiles › Node 8,714,768

8,714,768

24 × 19 × 109 × 263
Abundant Even Composite

8,714,768 factors as 2^4 × 19 × 109 × 263. Its 40 positive divisors give a proper-divisor sum of 9,290,032, so this integer is abundant. The Collatz stopping time is 274 steps.

Prime Factor Structure

Factorization String 2^4 × 19 × 109 × 263
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 18,004,800
Proper Divisor Sum 9,290,032
Digit Sum / Digital Root 41 (Root: 5)
Adjacent Primes #8714743 ← → #8714773

Radix Representation

Decimal 8714768
Binary 100001001111101000010000 (24 bits)
Octal 0o41175020
Hexadecimal 0x84FA10

Divisor Catalog (40)

1 2 4 8 16 19 38 76 109 152 218 263 304 436 526 872 1,052 1,744 2,071 2,104 4,142 4,208 4,997 8,284 9,994 16,568 19,988 28,667 33,136 39,976 57,334 79,952 114,668 229,336 458,672 544,673 1,089,346 2,178,692 4,357,384 8,714,768

Collatz Trajectory (274 steps to reach 1)

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

8,714,768 4,357,384 2,178,692 1,089,346 544,673 1,634,020 817,010 408,505 1,225,516 612,758 306,379 919,138 459,569 1,378,708 689,354 344,677 1,034,032 517,016 258,508 129,254 64,627 193,882 96,941 290,824 145,412 72,706 36,353 109,060 54,530 27,265 81,796 40,898 20,449 61,348 30,674 15,337 46,012 23,006 11,503 34,510 17,255 51,766 25,883 77,650 38,825 116,476 58,238 29,119 87,358 43,679 131,038 65,519 196,558 98,279 294,838 147,419 442,258 221,129 663,388 331,694

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