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Atlas › Integer Profiles › Node 11,746,494

11,746,494

2 × 32 × 109 × 5987
Abundant Even Composite

11,746,494 factors as 2 × 3^2 × 109 × 5987. Its 24 positive divisors give a proper-divisor sum of 13,942,026, so this integer is abundant. The Collatz stopping time is 91 steps.

Prime Factor Structure

Factorization String 2 × 3^2 × 109 × 5987
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 25,688,520
Proper Divisor Sum 13,942,026
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #11746433 ← → #11746499

Radix Representation

Decimal 11746494
Binary 101100110011110010111110 (24 bits)
Octal 0o54636276
Hexadecimal 0xB33CBE

Divisor Catalog (24)

1 2 3 6 9 18 109 218 327 654 981 1,962 5,987 11,974 17,961 35,922 53,883 107,766 652,583 1,305,166 1,957,749 3,915,498 5,873,247 11,746,494

Collatz Trajectory (91 steps to reach 1)

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

11,746,494 5,873,247 17,619,742 8,809,871 26,429,614 13,214,807 39,644,422 19,822,211 59,466,634 29,733,317 89,199,952 44,599,976 22,299,988 11,149,994 5,574,997 16,724,992 8,362,496 4,181,248 2,090,624 1,045,312 522,656 261,328 130,664 65,332 32,666 16,333 49,000 24,500 12,250 6,125 18,376 9,188 4,594 2,297 6,892 3,446 1,723 5,170 2,585 7,756 3,878 1,939 5,818 2,909 8,728 4,364 2,182 1,091 3,274 1,637 4,912 2,456 1,228 614 307 922 461 1,384 692 346

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