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Atlas › Integer Profiles › Node 8,306,964

8,306,964

22 × 32 × 59 × 3911
Abundant Even Composite

8,306,964 factors as 2^2 × 3^2 × 59 × 3911. Its 36 positive divisors give a proper-divisor sum of 13,052,556, so this integer is abundant. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2^2 × 3^2 × 59 × 3911
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 36
Divisor Sum (σ) 21,359,520
Proper Divisor Sum 13,052,556
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #8306957 ← → #8307001

Radix Representation

Decimal 8306964
Binary 11111101100000100010100 (23 bits)
Octal 0o37540424
Hexadecimal 0x7EC114

Divisor Catalog (36)

1 2 3 4 6 9 12 18 36 59 118 177 236 354 531 708 1,062 2,124 3,911 7,822 11,733 15,644 23,466 35,199 46,932 70,398 140,796 230,749 461,498 692,247 922,996 1,384,494 2,076,741 2,768,988 4,153,482 8,306,964

Collatz Trajectory (168 steps to reach 1)

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

8,306,964 4,153,482 2,076,741 6,230,224 3,115,112 1,557,556 778,778 389,389 1,168,168 584,084 292,042 146,021 438,064 219,032 109,516 54,758 27,379 82,138 41,069 123,208 61,604 30,802 15,401 46,204 23,102 11,551 34,654 17,327 51,982 25,991 77,974 38,987 116,962 58,481 175,444 87,722 43,861 131,584 65,792 32,896 16,448 8,224 4,112 2,056 1,028 514 257 772 386 193 580 290 145 436 218 109 328 164 82 41

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