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Atlas › Integer Profiles › Node 33,816,580

33,816,580

22 × 5 × 7 × 19 × 12713
Abundant Even Composite

33,816,580 factors as 2^2 × 5 × 7 × 19 × 12713. Its 48 positive divisors give a proper-divisor sum of 51,621,500, so this integer is abundant. The Collatz stopping time is 108 steps.

Prime Factor Structure

Factorization String 2^2 × 5 × 7 × 19 × 12713
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 85,438,080
Proper Divisor Sum 51,621,500
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #33816571 ← → #33816583

Radix Representation

Decimal 33816580
Binary 10000001000000000000000100 (26 bits)
Octal 0o201000004
Hexadecimal 0x2040004

Divisor Catalog (48)

1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 532 665 1,330 2,660 12,713 25,426 50,852 63,565 88,991 127,130 177,982 241,547 254,260 355,964 444,955 483,094 889,910 966,188 1,207,735 1,690,829 1,779,820 2,415,470 3,381,658 4,830,940 6,763,316 8,454,145 16,908,290 33,816,580

Collatz Trajectory (108 steps to reach 1)

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

33,816,580 16,908,290 8,454,145 25,362,436 12,681,218 6,340,609 19,021,828 9,510,914 4,755,457 14,266,372 7,133,186 3,566,593 10,699,780 5,349,890 2,674,945 8,024,836 4,012,418 2,006,209 6,018,628 3,009,314 1,504,657 4,513,972 2,256,986 1,128,493 3,385,480 1,692,740 846,370 423,185 1,269,556 634,778 317,389 952,168 476,084 238,042 119,021 357,064 178,532 89,266 44,633 133,900 66,950 33,475 100,426 50,213 150,640 75,320 37,660 18,830 9,415 28,246 14,123 42,370 21,185 63,556 31,778 15,889 47,668 23,834 11,917 35,752

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