λ
Math Directory

5,624,850

2 × 3 × 52 × 7 × 11 × 487
Abundant Even Composite

5,624,850 factors as 2 × 3 × 5^2 × 7 × 11 × 487. Its 96 positive divisors give a proper-divisor sum of 11,802,606, so this integer is abundant. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 2 × 3 × 5^2 × 7 × 11 × 487
Distinct Prime Factors 6
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 96
Divisor Sum (σ) 17,427,456
Proper Divisor Sum 11,802,606
Digit Sum / Digital Root 30 (Root: 3)
Adjacent Primes #5624849 ← → #5624881

Radix Representation

Decimal 5624850
Binary 10101011101010000010010 (23 bits)
Octal 0o25352022
Hexadecimal 0x55D412

Divisor Catalog (60 of 96)

1 2 3 5 6 7 10 11 14 15 21 22 25 30 33 35 42 50 55 66 70 75 77 105 110 150 154 165 175 210 231 275 330 350 385 462 487 525 550 770 825 974 1,050 1,155 1,461 1,650 1,925 2,310 2,435 2,922 3,409 3,850 4,870 5,357 5,775 6,818 7,305 10,227 10,714 11,550

Collatz Trajectory (157 steps to reach 1)

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

5,624,850 2,812,425 8,437,276 4,218,638 2,109,319 6,327,958 3,163,979 9,491,938 4,745,969 14,237,908 7,118,954 3,559,477 10,678,432 5,339,216 2,669,608 1,334,804 667,402 333,701 1,001,104 500,552 250,276 125,138 62,569 187,708 93,854 46,927 140,782 70,391 211,174 105,587 316,762 158,381 475,144 237,572 118,786 59,393 178,180 89,090 44,545 133,636 66,818 33,409 100,228 50,114 25,057 75,172 37,586 18,793 56,380 28,190 14,095 42,286 21,143 63,430 31,715 95,146 47,573 142,720 71,360 35,680

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