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Atlas › Integer Profiles › Node 11,759,944

11,759,944

23 × 7 × 373 × 563
Abundant Even Composite

11,759,944 factors as 2^3 × 7 × 373 × 563. Its 32 positive divisors give a proper-divisor sum of 13,552,376, so this integer is abundant. The Collatz stopping time is 184 steps.

Prime Factor Structure

Factorization String 2^3 × 7 × 373 × 563
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 25,312,320
Proper Divisor Sum 13,552,376
Digit Sum / Digital Root 40 (Root: 4)
Adjacent Primes #11759927 ← → #11759959

Radix Representation

Decimal 11759944
Binary 101100110111000101001000 (24 bits)
Octal 0o54670510
Hexadecimal 0xB37148

Divisor Catalog (32)

1 2 4 7 8 14 28 56 373 563 746 1,126 1,492 2,252 2,611 2,984 3,941 4,504 5,222 7,882 10,444 15,764 20,888 31,528 209,999 419,998 839,996 1,469,993 1,679,992 2,939,986 5,879,972 11,759,944

Collatz Trajectory (184 steps to reach 1)

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

11,759,944 5,879,972 2,939,986 1,469,993 4,409,980 2,204,990 1,102,495 3,307,486 1,653,743 4,961,230 2,480,615 7,441,846 3,720,923 11,162,770 5,581,385 16,744,156 8,372,078 4,186,039 12,558,118 6,279,059 18,837,178 9,418,589 28,255,768 14,127,884 7,063,942 3,531,971 10,595,914 5,297,957 15,893,872 7,946,936 3,973,468 1,986,734 993,367 2,980,102 1,490,051 4,470,154 2,235,077 6,705,232 3,352,616 1,676,308 838,154 419,077 1,257,232 628,616 314,308 157,154 78,577 235,732 117,866 58,933 176,800 88,400 44,200 22,100 11,050 5,525 16,576 8,288 4,144 2,072

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