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Atlas › Integer Profiles › Node 33,336,498

33,336,498

2 × 3 × 13 × 257 × 1663
Abundant Even Composite

33,336,498 factors as 2 × 3 × 13 × 257 × 1663. Its 32 positive divisors give a proper-divisor sum of 38,787,918, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 257 × 1663
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 72,124,416
Proper Divisor Sum 38,787,918
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #33336497 ← → #33336517

Radix Representation

Decimal 33336498
Binary 1111111001010110010110010 (25 bits)
Octal 0o177126262
Hexadecimal 0x1FCACB2

Divisor Catalog (32)

1 2 3 6 13 26 39 78 257 514 771 1,542 1,663 3,326 3,341 4,989 6,682 9,978 10,023 20,046 21,619 43,238 64,857 129,714 427,391 854,782 1,282,173 2,564,346 5,556,083 11,112,166 16,668,249 33,336,498

Collatz Trajectory (214 steps to reach 1)

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

33,336,498 16,668,249 50,004,748 25,002,374 12,501,187 37,503,562 18,751,781 56,255,344 28,127,672 14,063,836 7,031,918 3,515,959 10,547,878 5,273,939 15,821,818 7,910,909 23,732,728 11,866,364 5,933,182 2,966,591 8,899,774 4,449,887 13,349,662 6,674,831 20,024,494 10,012,247 30,036,742 15,018,371 45,055,114 22,527,557 67,582,672 33,791,336 16,895,668 8,447,834 4,223,917 12,671,752 6,335,876 3,167,938 1,583,969 4,751,908 2,375,954 1,187,977 3,563,932 1,781,966 890,983 2,672,950 1,336,475 4,009,426 2,004,713 6,014,140 3,007,070 1,503,535 4,510,606 2,255,303 6,765,910 3,382,955 10,148,866 5,074,433 15,223,300 7,611,650

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