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Atlas › Integer Profiles › Node 49,695,920

49,695,920

24 × 5 × 47 × 13217
Abundant Even Composite

49,695,920 factors as 2^4 × 5 × 47 × 13217. Its 40 positive divisors give a proper-divisor sum of 68,314,384, so this integer is abundant. The Collatz stopping time is 80 steps.

Prime Factor Structure

Factorization String 2^4 × 5 × 47 × 13217
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 118,010,304
Proper Divisor Sum 68,314,384
Digit Sum / Digital Root 44 (Root: 8)
Adjacent Primes #49695901 ← → #49695941

Radix Representation

Decimal 49695920
Binary 10111101100100110010110000 (26 bits)
Octal 0o275446260
Hexadecimal 0x2F64CB0

Divisor Catalog (40)

1 2 4 5 8 10 16 20 40 47 80 94 188 235 376 470 752 940 1,880 3,760 13,217 26,434 52,868 66,085 105,736 132,170 211,472 264,340 528,680 621,199 1,057,360 1,242,398 2,484,796 3,105,995 4,969,592 6,211,990 9,939,184 12,423,980 24,847,960 49,695,920

Collatz Trajectory (80 steps to reach 1)

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

49,695,920 24,847,960 12,423,980 6,211,990 3,105,995 9,317,986 4,658,993 13,976,980 6,988,490 3,494,245 10,482,736 5,241,368 2,620,684 1,310,342 655,171 1,965,514 982,757 2,948,272 1,474,136 737,068 368,534 184,267 552,802 276,401 829,204 414,602 207,301 621,904 310,952 155,476 77,738 38,869 116,608 58,304 29,152 14,576 7,288 3,644 1,822 911 2,734 1,367 4,102 2,051 6,154 3,077 9,232 4,616 2,308 1,154 577 1,732 866 433 1,300 650 325 976 488 244

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