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Atlas › Integer Profiles › Node 14,799,642

14,799,642

2 × 3 × 11 × 13 × 47 × 367
Abundant Even Composite

14,799,642 factors as 2 × 3 × 11 × 13 × 47 × 367. Its 64 positive divisors give a proper-divisor sum of 20,810,982, so this integer is abundant. The Collatz stopping time is 143 steps.

Prime Factor Structure

Factorization String 2 × 3 × 11 × 13 × 47 × 367
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 64
Divisor Sum (σ) 35,610,624
Proper Divisor Sum 20,810,982
Digit Sum / Digital Root 42 (Root: 6)
Adjacent Primes #14799641 ← → #14799643

Radix Representation

Decimal 14799642
Binary 111000011101001100011010 (24 bits)
Octal 0o70351432
Hexadecimal 0xE1D31A

Divisor Catalog (60 of 64)

1 2 3 6 11 13 22 26 33 39 47 66 78 94 141 143 282 286 367 429 517 611 734 858 1,034 1,101 1,222 1,551 1,833 2,202 3,102 3,666 4,037 4,771 6,721 8,074 9,542 12,111 13,442 14,313 17,249 20,163 24,222 28,626 34,498 40,326 51,747 52,481 103,494 104,962 157,443 189,739 224,237 314,886 379,478 448,474 569,217 672,711 1,138,434 1,345,422

Collatz Trajectory (143 steps to reach 1)

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

14,799,642 7,399,821 22,199,464 11,099,732 5,549,866 2,774,933 8,324,800 4,162,400 2,081,200 1,040,600 520,300 260,150 130,075 390,226 195,113 585,340 292,670 146,335 439,006 219,503 658,510 329,255 987,766 493,883 1,481,650 740,825 2,222,476 1,111,238 555,619 1,666,858 833,429 2,500,288 1,250,144 625,072 312,536 156,268 78,134 39,067 117,202 58,601 175,804 87,902 43,951 131,854 65,927 197,782 98,891 296,674 148,337 445,012 222,506 111,253 333,760 166,880 83,440 41,720 20,860 10,430 5,215 15,646

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