λ
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Atlas › Integer Profiles › Node 47,852,450

47,852,450

2 × 52 × 17 × 19 × 2963
Abundant Even Composite

47,852,450 factors as 2 × 5^2 × 17 × 19 × 2963. Its 48 positive divisors give a proper-divisor sum of 51,382,270, so this integer is abundant. The Collatz stopping time is 230 steps.

Prime Factor Structure

Factorization String 2 × 5^2 × 17 × 19 × 2963
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 99,234,720
Proper Divisor Sum 51,382,270
Digit Sum / Digital Root 35 (Root: 8)
Adjacent Primes #47852429 ← → #47852459

Radix Representation

Decimal 47852450
Binary 10110110100010101110100010 (26 bits)
Octal 0o266425642
Hexadecimal 0x2DA2BA2

Divisor Catalog (48)

1 2 5 10 17 19 25 34 38 50 85 95 170 190 323 425 475 646 850 950 1,615 2,963 3,230 5,926 8,075 14,815 16,150 29,630 50,371 56,297 74,075 100,742 112,594 148,150 251,855 281,485 503,710 562,970 957,049 1,259,275 1,407,425 1,914,098 2,518,550 2,814,850 4,785,245 9,570,490 23,926,225 47,852,450

Collatz Trajectory (230 steps to reach 1)

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

47,852,450 23,926,225 71,778,676 35,889,338 17,944,669 53,834,008 26,917,004 13,458,502 6,729,251 20,187,754 10,093,877 30,281,632 15,140,816 7,570,408 3,785,204 1,892,602 946,301 2,838,904 1,419,452 709,726 354,863 1,064,590 532,295 1,596,886 798,443 2,395,330 1,197,665 3,592,996 1,796,498 898,249 2,694,748 1,347,374 673,687 2,021,062 1,010,531 3,031,594 1,515,797 4,547,392 2,273,696 1,136,848 568,424 284,212 142,106 71,053 213,160 106,580 53,290 26,645 79,936 39,968 19,984 9,992 4,996 2,498 1,249 3,748 1,874 937 2,812 1,406

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