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Atlas › Integer Profiles › Node 5,048,848

5,048,848

24 × 7 × 61 × 739
Abundant Even Composite

5,048,848 factors as 2^4 × 7 × 61 × 739. Its 40 positive divisors give a proper-divisor sum of 6,329,392, so this integer is abundant. The Collatz stopping time is 113 steps.

Prime Factor Structure

Factorization String 2^4 × 7 × 61 × 739
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 11,378,240
Proper Divisor Sum 6,329,392
Digit Sum / Digital Root 37 (Root: 1)
Adjacent Primes #5048843 ← → #5048867

Radix Representation

Decimal 5048848
Binary 10011010000101000010000 (23 bits)
Octal 0o23205020
Hexadecimal 0x4D0A10

Divisor Catalog (40)

1 2 4 7 8 14 16 28 56 61 112 122 244 427 488 739 854 976 1,478 1,708 2,956 3,416 5,173 5,912 6,832 10,346 11,824 20,692 41,384 45,079 82,768 90,158 180,316 315,553 360,632 631,106 721,264 1,262,212 2,524,424 5,048,848

Collatz Trajectory (113 steps to reach 1)

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

5,048,848 2,524,424 1,262,212 631,106 315,553 946,660 473,330 236,665 709,996 354,998 177,499 532,498 266,249 798,748 399,374 199,687 599,062 299,531 898,594 449,297 1,347,892 673,946 336,973 1,010,920 505,460 252,730 126,365 379,096 189,548 94,774 47,387 142,162 71,081 213,244 106,622 53,311 159,934 79,967 239,902 119,951 359,854 179,927 539,782 269,891 809,674 404,837 1,214,512 607,256 303,628 151,814 75,907 227,722 113,861 341,584 170,792 85,396 42,698 21,349 64,048 32,024

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