λ
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5,750,570

2 × 5 × 7 × 113 × 727
Abundant Even Composite

5,750,570 factors as 2 × 5 × 7 × 113 × 727. Its 32 positive divisors give a proper-divisor sum of 6,200,278, so this integer is abundant. The Collatz stopping time is 77 steps.

Prime Factor Structure

Factorization String 2 × 5 × 7 × 113 × 727
Distinct Prime Factors 5
Square Status No
Abundance Measure Abundant

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 11,950,848
Proper Divisor Sum 6,200,278
Digit Sum / Digital Root 29 (Root: 2)
Adjacent Primes #5750561 ← → #5750581

Radix Representation

Decimal 5750570
Binary 10101111011111100101010 (23 bits)
Octal 0o25737452
Hexadecimal 0x57BF2A

Divisor Catalog (32)

1 2 5 7 10 14 35 70 113 226 565 727 791 1,130 1,454 1,582 3,635 3,955 5,089 7,270 7,910 10,178 25,445 50,890 82,151 164,302 410,755 575,057 821,510 1,150,114 2,875,285 5,750,570

Collatz Trajectory (77 steps to reach 1)

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

5,750,570 2,875,285 8,625,856 4,312,928 2,156,464 1,078,232 539,116 269,558 134,779 404,338 202,169 606,508 303,254 151,627 454,882 227,441 682,324 341,162 170,581 511,744 255,872 127,936 63,968 31,984 15,992 7,996 3,998 1,999 5,998 2,999 8,998 4,499 13,498 6,749 20,248 10,124 5,062 2,531 7,594 3,797 11,392 5,696 2,848 1,424 712 356 178 89 268 134 67 202 101 304 152 76 38 19 58 29

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