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Atlas › Integer Profiles › Node 54,822,846

54,822,846

2 × 3 × 13 × 23 × 30559
Abundant Even Composite

54,822,846 factors as 2 × 3 × 13 × 23 × 30559. Its 32 positive divisors give a proper-divisor sum of 68,395,074, so this integer is abundant. The Collatz stopping time is 225 steps.

Prime Factor Structure

Factorization String 2 × 3 × 13 × 23 × 30559
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 123,217,920
Proper Divisor Sum 68,395,074
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #54822811 ← → #54822853

Radix Representation

Decimal 54822846
Binary 11010001001000011110111110 (26 bits)
Octal 0o321103676
Hexadecimal 0x34487BE

Divisor Catalog (32)

1 2 3 6 13 23 26 39 46 69 78 138 299 598 897 1,794 30,559 61,118 91,677 183,354 397,267 702,857 794,534 1,191,801 1,405,714 2,108,571 2,383,602 4,217,142 9,137,141 18,274,282 27,411,423 54,822,846

Collatz Trajectory (225 steps to reach 1)

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

54,822,846 27,411,423 82,234,270 41,117,135 123,351,406 61,675,703 185,027,110 92,513,555 277,540,666 138,770,333 416,311,000 208,155,500 104,077,750 52,038,875 156,116,626 78,058,313 234,174,940 117,087,470 58,543,735 175,631,206 87,815,603 263,446,810 131,723,405 395,170,216 197,585,108 98,792,554 49,396,277 148,188,832 74,094,416 37,047,208 18,523,604 9,261,802 4,630,901 13,892,704 6,946,352 3,473,176 1,736,588 868,294 434,147 1,302,442 651,221 1,953,664 976,832 488,416 244,208 122,104 61,052 30,526 15,263 45,790 22,895 68,686 34,343 103,030 51,515 154,546 77,273 231,820 115,910 57,955

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