λ
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Atlas › Integer Profiles › Node 6,218,135

6,218,135

5 × 7 × 11 × 31 × 521
Deficient Odd Composite

6,218,135 factors as 5 × 7 × 11 × 31 × 521. Its 32 positive divisors give a proper-divisor sum of 3,403,369, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 5 × 7 × 11 × 31 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 9,621,504
Proper Divisor Sum 3,403,369
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #6218117 ← → #6218143

Radix Representation

Decimal 6218135
Binary 10111101110000110010111 (23 bits)
Octal 0o27560627
Hexadecimal 0x5EE197

Divisor Catalog (32)

1 5 7 11 31 35 55 77 155 217 341 385 521 1,085 1,705 2,387 2,605 3,647 5,731 11,935 16,151 18,235 28,655 40,117 80,755 113,057 177,661 200,585 565,285 888,305 1,243,627 6,218,135

Collatz Trajectory (157 steps to reach 1)

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

6,218,135 18,654,406 9,327,203 27,981,610 13,990,805 41,972,416 20,986,208 10,493,104 5,246,552 2,623,276 1,311,638 655,819 1,967,458 983,729 2,951,188 1,475,594 737,797 2,213,392 1,106,696 553,348 276,674 138,337 415,012 207,506 103,753 311,260 155,630 77,815 233,446 116,723 350,170 175,085 525,256 262,628 131,314 65,657 196,972 98,486 49,243 147,730 73,865 221,596 110,798 55,399 166,198 83,099 249,298 124,649 373,948 186,974 93,487 280,462 140,231 420,694 210,347 631,042 315,521 946,564 473,282 236,641

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