λ
Math Directory

8,255,218

2 × 37 × 281 × 397
Deficient Even Composite

8,255,218 factors as 2 × 37 × 281 × 397. Its 16 positive divisors give a proper-divisor sum of 4,539,686, so this integer is deficient. The Collatz stopping time is 168 steps.

Prime Factor Structure

Factorization String 2 × 37 × 281 × 397
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 16
Divisor Sum (σ) 12,794,904
Proper Divisor Sum 4,539,686
Digit Sum / Digital Root 31 (Root: 4)
Adjacent Primes #8255213 ← → #8255239

Radix Representation

Decimal 8255218
Binary 11111011111011011110010 (23 bits)
Octal 0o37373362
Hexadecimal 0x7DF6F2

Divisor Catalog (16)

1 2 37 74 281 397 562 794 10,397 14,689 20,794 29,378 111,557 223,114 4,127,609 8,255,218

Collatz Trajectory (168 steps to reach 1)

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

8,255,218 4,127,609 12,382,828 6,191,414 3,095,707 9,287,122 4,643,561 13,930,684 6,965,342 3,482,671 10,448,014 5,224,007 15,672,022 7,836,011 23,508,034 11,754,017 35,262,052 17,631,026 8,815,513 26,446,540 13,223,270 6,611,635 19,834,906 9,917,453 29,752,360 14,876,180 7,438,090 3,719,045 11,157,136 5,578,568 2,789,284 1,394,642 697,321 2,091,964 1,045,982 522,991 1,568,974 784,487 2,353,462 1,176,731 3,530,194 1,765,097 5,295,292 2,647,646 1,323,823 3,971,470 1,985,735 5,957,206 2,978,603 8,935,810 4,467,905 13,403,716 6,701,858 3,350,929 10,052,788 5,026,394 2,513,197 7,539,592 3,769,796 1,884,898

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