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Atlas › Integer Profiles › Node 17,519,146

17,519,146

2 × 17 × 23 × 43 × 521
Deficient Even Composite

17,519,146 factors as 2 × 17 × 23 × 43 × 521. Its 32 positive divisors give a proper-divisor sum of 12,247,382, so this integer is deficient. The Collatz stopping time is 107 steps.

Prime Factor Structure

Factorization String 2 × 17 × 23 × 43 × 521
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,766,528
Proper Divisor Sum 12,247,382
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #17519141 ← → #17519207

Radix Representation

Decimal 17519146
Binary 1000010110101001000101010 (25 bits)
Octal 0o102651052
Hexadecimal 0x10B522A

Divisor Catalog (32)

1 2 17 23 34 43 46 86 391 521 731 782 989 1,042 1,462 1,978 8,857 11,983 16,813 17,714 22,403 23,966 33,626 44,806 203,711 380,851 407,422 515,269 761,702 1,030,538 8,759,573 17,519,146

Collatz Trajectory (107 steps to reach 1)

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

17,519,146 8,759,573 26,278,720 13,139,360 6,569,680 3,284,840 1,642,420 821,210 410,605 1,231,816 615,908 307,954 153,977 461,932 230,966 115,483 346,450 173,225 519,676 259,838 129,919 389,758 194,879 584,638 292,319 876,958 438,479 1,315,438 657,719 1,973,158 986,579 2,959,738 1,479,869 4,439,608 2,219,804 1,109,902 554,951 1,664,854 832,427 2,497,282 1,248,641 3,745,924 1,872,962 936,481 2,809,444 1,404,722 702,361 2,107,084 1,053,542 526,771 1,580,314 790,157 2,370,472 1,185,236 592,618 296,309 888,928 444,464 222,232 111,116

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