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Atlas › Integer Profiles › Node 5,341,024

5,341,024

25 × 13 × 37 × 347
Abundant Even Composite

5,341,024 factors as 2^5 × 13 × 37 × 347. Its 48 positive divisors give a proper-divisor sum of 6,322,544, so this integer is abundant. The Collatz stopping time is 118 steps.

Prime Factor Structure

Factorization String 2^5 × 13 × 37 × 347
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 11,663,568
Proper Divisor Sum 6,322,544
Digit Sum / Digital Root 19 (Root: 1)
Adjacent Primes #5341019 ← → #5341031

Radix Representation

Decimal 5341024
Binary 10100010111111101100000 (23 bits)
Octal 0o24277540
Hexadecimal 0x517F60

Divisor Catalog (48)

1 2 4 8 13 16 26 32 37 52 74 104 148 208 296 347 416 481 592 694 962 1,184 1,388 1,924 2,776 3,848 4,511 5,552 7,696 9,022 11,104 12,839 15,392 18,044 25,678 36,088 51,356 72,176 102,712 144,352 166,907 205,424 333,814 410,848 667,628 1,335,256 2,670,512 5,341,024

Collatz Trajectory (118 steps to reach 1)

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

5,341,024 2,670,512 1,335,256 667,628 333,814 166,907 500,722 250,361 751,084 375,542 187,771 563,314 281,657 844,972 422,486 211,243 633,730 316,865 950,596 475,298 237,649 712,948 356,474 178,237 534,712 267,356 133,678 66,839 200,518 100,259 300,778 150,389 451,168 225,584 112,792 56,396 28,198 14,099 42,298 21,149 63,448 31,724 15,862 7,931 23,794 11,897 35,692 17,846 8,923 26,770 13,385 40,156 20,078 10,039 30,118 15,059 45,178 22,589 67,768 33,884

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