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Atlas › Integer Profiles › Node 4,841,120

4,841,120

25 × 5 × 79 × 383
Abundant Even Composite

4,841,120 factors as 2^5 × 5 × 79 × 383. Its 48 positive divisors give a proper-divisor sum of 6,771,040, so this integer is abundant. The Collatz stopping time is 162 steps.

Prime Factor Structure

Factorization String 2^5 × 5 × 79 × 383
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,612,160
Proper Divisor Sum 6,771,040
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #4841119 ← → #4841149

Radix Representation

Decimal 4841120
Binary 10010011101111010100000 (23 bits)
Octal 0o22357240
Hexadecimal 0x49DEA0

Divisor Catalog (48)

1 2 4 5 8 10 16 20 32 40 79 80 158 160 316 383 395 632 766 790 1,264 1,532 1,580 1,915 2,528 3,064 3,160 3,830 6,128 6,320 7,660 12,256 12,640 15,320 30,257 30,640 60,514 61,280 121,028 151,285 242,056 302,570 484,112 605,140 968,224 1,210,280 2,420,560 4,841,120

Collatz Trajectory (162 steps to reach 1)

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

4,841,120 2,420,560 1,210,280 605,140 302,570 151,285 453,856 226,928 113,464 56,732 28,366 14,183 42,550 21,275 63,826 31,913 95,740 47,870 23,935 71,806 35,903 107,710 53,855 161,566 80,783 242,350 121,175 363,526 181,763 545,290 272,645 817,936 408,968 204,484 102,242 51,121 153,364 76,682 38,341 115,024 57,512 28,756 14,378 7,189 21,568 10,784 5,392 2,696 1,348 674 337 1,012 506 253 760 380 190 95 286 143

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