λ
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Atlas › Integer Profiles › Node 25,843,570

25,843,570

2 × 5 × 17 × 281 × 541
Deficient Even Composite

25,843,570 factors as 2 × 5 × 17 × 281 × 541. Its 32 positive divisors give a proper-divisor sum of 23,677,886, so this integer is deficient. The Collatz stopping time is 211 steps.

Prime Factor Structure

Factorization String 2 × 5 × 17 × 281 × 541
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 49,521,456
Proper Divisor Sum 23,677,886
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #25843541 ← → #25843583

Radix Representation

Decimal 25843570
Binary 1100010100101011101110010 (25 bits)
Octal 0o142453562
Hexadecimal 0x18A5772

Divisor Catalog (32)

1 2 5 10 17 34 85 170 281 541 562 1,082 1,405 2,705 2,810 4,777 5,410 9,197 9,554 18,394 23,885 45,985 47,770 91,970 152,021 304,042 760,105 1,520,210 2,584,357 5,168,714 12,921,785 25,843,570

Collatz Trajectory (211 steps to reach 1)

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

25,843,570 12,921,785 38,765,356 19,382,678 9,691,339 29,074,018 14,537,009 43,611,028 21,805,514 10,902,757 32,708,272 16,354,136 8,177,068 4,088,534 2,044,267 6,132,802 3,066,401 9,199,204 4,599,602 2,299,801 6,899,404 3,449,702 1,724,851 5,174,554 2,587,277 7,761,832 3,880,916 1,940,458 970,229 2,910,688 1,455,344 727,672 363,836 181,918 90,959 272,878 136,439 409,318 204,659 613,978 306,989 920,968 460,484 230,242 115,121 345,364 172,682 86,341 259,024 129,512 64,756 32,378 16,189 48,568 24,284 12,142 6,071 18,214 9,107 27,322

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