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Atlas › Integer Profiles › Node 9,722,856

9,722,856

23 × 3 × 11 × 13 × 2833
Abundant Even Composite

9,722,856 factors as 2^3 × 3 × 11 × 13 × 2833. Its 64 positive divisors give a proper-divisor sum of 18,843,864, so this integer is abundant. The Collatz stopping time is 88 steps.

Prime Factor Structure

Factorization String 2^3 × 3 × 11 × 13 × 2833
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 28,566,720
Proper Divisor Sum 18,843,864
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #9722837 ← → #9722879

Radix Representation

Decimal 9722856
Binary 100101000101101111101000 (24 bits)
Octal 0o45055750
Hexadecimal 0x945BE8

Divisor Catalog (60 of 64)

1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1,144 1,716 2,833 3,432 5,666 8,499 11,332 16,998 22,664 31,163 33,996 36,829 62,326 67,992 73,658 93,489 110,487 124,652 147,316 186,978 220,974 249,304 294,632 373,956 405,119 441,948 747,912 810,238 883,896 1,215,357 1,620,476

Collatz Trajectory (88 steps to reach 1)

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

9,722,856 4,861,428 2,430,714 1,215,357 3,646,072 1,823,036 911,518 455,759 1,367,278 683,639 2,050,918 1,025,459 3,076,378 1,538,189 4,614,568 2,307,284 1,153,642 576,821 1,730,464 865,232 432,616 216,308 108,154 54,077 162,232 81,116 40,558 20,279 60,838 30,419 91,258 45,629 136,888 68,444 34,222 17,111 51,334 25,667 77,002 38,501 115,504 57,752 28,876 14,438 7,219 21,658 10,829 32,488 16,244 8,122 4,061 12,184 6,092 3,046 1,523 4,570 2,285 6,856 3,428 1,714

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