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Atlas › Integer Profiles › Node 33,354,544

33,354,544

24 × 17 × 149 × 823
Abundant Even Composite

33,354,544 factors as 2^4 × 17 × 149 × 823. Its 40 positive divisors give a proper-divisor sum of 35,614,256, so this integer is abundant. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 2^4 × 17 × 149 × 823
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 68,968,800
Proper Divisor Sum 35,614,256
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #33354533 ← → #33354551

Radix Representation

Decimal 33354544
Binary 1111111001111001100110000 (25 bits)
Octal 0o177171460
Hexadecimal 0x1FCF330

Divisor Catalog (40)

1 2 4 8 16 17 34 68 136 149 272 298 596 823 1,192 1,646 2,384 2,533 3,292 5,066 6,584 10,132 13,168 13,991 20,264 27,982 40,528 55,964 111,928 122,627 223,856 245,254 490,508 981,016 1,962,032 2,084,659 4,169,318 8,338,636 16,677,272 33,354,544

Collatz Trajectory (214 steps to reach 1)

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

33,354,544 16,677,272 8,338,636 4,169,318 2,084,659 6,253,978 3,126,989 9,380,968 4,690,484 2,345,242 1,172,621 3,517,864 1,758,932 879,466 439,733 1,319,200 659,600 329,800 164,900 82,450 41,225 123,676 61,838 30,919 92,758 46,379 139,138 69,569 208,708 104,354 52,177 156,532 78,266 39,133 117,400 58,700 29,350 14,675 44,026 22,013 66,040 33,020 16,510 8,255 24,766 12,383 37,150 18,575 55,726 27,863 83,590 41,795 125,386 62,693 188,080 94,040 47,020 23,510 11,755 35,266

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