λ
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Atlas › Integer Profiles › Node 33,494,488

33,494,488

23 × 17 × 97 × 2539
Abundant Even Composite

33,494,488 factors as 2^3 × 17 × 97 × 2539. Its 32 positive divisors give a proper-divisor sum of 33,713,912, so this integer is abundant. The Collatz stopping time is 232 steps.

Prime Factor Structure

Factorization String 2^3 × 17 × 97 × 2539
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 67,208,400
Proper Divisor Sum 33,713,912
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #33494479 ← → #33494497

Radix Representation

Decimal 33494488
Binary 1111111110001010111011000 (25 bits)
Octal 0o177612730
Hexadecimal 0x1FF15D8

Divisor Catalog (32)

1 2 4 8 17 34 68 97 136 194 388 776 1,649 2,539 3,298 5,078 6,596 10,156 13,192 20,312 43,163 86,326 172,652 246,283 345,304 492,566 985,132 1,970,264 4,186,811 8,373,622 16,747,244 33,494,488

Collatz Trajectory (232 steps to reach 1)

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

33,494,488 16,747,244 8,373,622 4,186,811 12,560,434 6,280,217 18,840,652 9,420,326 4,710,163 14,130,490 7,065,245 21,195,736 10,597,868 5,298,934 2,649,467 7,948,402 3,974,201 11,922,604 5,961,302 2,980,651 8,941,954 4,470,977 13,412,932 6,706,466 3,353,233 10,059,700 5,029,850 2,514,925 7,544,776 3,772,388 1,886,194 943,097 2,829,292 1,414,646 707,323 2,121,970 1,060,985 3,182,956 1,591,478 795,739 2,387,218 1,193,609 3,580,828 1,790,414 895,207 2,685,622 1,342,811 4,028,434 2,014,217 6,042,652 3,021,326 1,510,663 4,531,990 2,265,995 6,797,986 3,398,993 10,196,980 5,098,490 2,549,245 7,647,736

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