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Atlas › Integer Profiles › Node 50,717,968

50,717,968

24 × 7 × 241 × 1879
Abundant Even Composite

50,717,968 factors as 2^4 × 7 × 241 × 1879. Its 40 positive divisors give a proper-divisor sum of 62,112,112, so this integer is abundant. The Collatz stopping time is 181 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 241 × 1879
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 112,830,080
Proper Divisor Sum 62,112,112
Digit Sum / Digital Root 43 (Root: 7)
Adjacent Primes #50717917 ← → #50717969

Radix Representation

Decimal 50717968
Binary 11000001011110010100010000 (26 bits)
Octal 0o301362420
Hexadecimal 0x305E510

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 112 241 482 964 1,687 1,879 1,928 3,374 3,758 3,856 6,748 7,516 13,153 13,496 15,032 26,306 26,992 30,064 52,612 105,224 210,448 452,839 905,678 1,811,356 3,169,873 3,622,712 6,339,746 7,245,424 12,679,492 25,358,984 50,717,968

Collatz Trajectory (181 steps to reach 1)

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

50,717,968 25,358,984 12,679,492 6,339,746 3,169,873 9,509,620 4,754,810 2,377,405 7,132,216 3,566,108 1,783,054 891,527 2,674,582 1,337,291 4,011,874 2,005,937 6,017,812 3,008,906 1,504,453 4,513,360 2,256,680 1,128,340 564,170 282,085 846,256 423,128 211,564 105,782 52,891 158,674 79,337 238,012 119,006 59,503 178,510 89,255 267,766 133,883 401,650 200,825 602,476 301,238 150,619 451,858 225,929 677,788 338,894 169,447 508,342 254,171 762,514 381,257 1,143,772 571,886 285,943 857,830 428,915 1,286,746 643,373 1,930,120

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