λ
Ratio Atlas
Atlas › Integer Profiles › Node 5,014,064

5,014,064

24 × 11 × 31 × 919
Abundant Even Composite

5,014,064 factors as 2^4 × 11 × 31 × 919. Its 40 positive divisors give a proper-divisor sum of 5,937,616, so this integer is abundant. The Collatz stopping time is 175 steps.

Prime Factor Structure

Factorization String 2^4 × 11 × 31 × 919
Distinct Prime Factors 4
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 40
Divisor Sum (σ) 10,951,680
Proper Divisor Sum 5,937,616
Digit Sum / Digital Root 20 (Root: 2)
Adjacent Primes #5014057 ← → #5014073

Radix Representation

Decimal 5014064
Binary 10011001000001000110000 (23 bits)
Octal 0o23101060
Hexadecimal 0x4C8230

Divisor Catalog (40)

1 2 4 8 11 16 22 31 44 62 88 124 176 248 341 496 682 919 1,364 1,838 2,728 3,676 5,456 7,352 10,109 14,704 20,218 28,489 40,436 56,978 80,872 113,956 161,744 227,912 313,379 455,824 626,758 1,253,516 2,507,032 5,014,064

Collatz Trajectory (175 steps to reach 1)

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

5,014,064 2,507,032 1,253,516 626,758 313,379 940,138 470,069 1,410,208 705,104 352,552 176,276 88,138 44,069 132,208 66,104 33,052 16,526 8,263 24,790 12,395 37,186 18,593 55,780 27,890 13,945 41,836 20,918 10,459 31,378 15,689 47,068 23,534 11,767 35,302 17,651 52,954 26,477 79,432 39,716 19,858 9,929 29,788 14,894 7,447 22,342 11,171 33,514 16,757 50,272 25,136 12,568 6,284 3,142 1,571 4,714 2,357 7,072 3,536 1,768 884

More profiles

Browse other published profiles and their separate link collections.

No other profiles in this collection.

← Previous Integer #5,014,063 Browse Full Index Next Integer #5,014,065 →