λ
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Atlas › Integer Profiles › Node 17,524,125

17,524,125

32 × 53 × 37 × 421
Deficient Odd Composite

17,524,125 factors as 3^2 × 5^3 × 37 × 421. Its 48 positive divisors give a proper-divisor sum of 14,996,883, so this integer is deficient. The Collatz stopping time is 200 steps.

Prime Factor Structure

Factorization String 3^2 × 5^3 × 37 × 421
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 32,521,008
Proper Divisor Sum 14,996,883
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #17524123 ← → #17524151

Radix Representation

Decimal 17524125
Binary 1000010110110010110011101 (25 bits)
Octal 0o102662635
Hexadecimal 0x10B659D

Divisor Catalog (48)

1 3 5 9 15 25 37 45 75 111 125 185 225 333 375 421 555 925 1,125 1,263 1,665 2,105 2,775 3,789 4,625 6,315 8,325 10,525 13,875 15,577 18,945 31,575 41,625 46,731 52,625 77,885 94,725 140,193 157,875 233,655 389,425 473,625 700,965 1,168,275 1,947,125 3,504,825 5,841,375 17,524,125

Collatz Trajectory (200 steps to reach 1)

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

17,524,125 52,572,376 26,286,188 13,143,094 6,571,547 19,714,642 9,857,321 29,571,964 14,785,982 7,392,991 22,178,974 11,089,487 33,268,462 16,634,231 49,902,694 24,951,347 74,854,042 37,427,021 112,281,064 56,140,532 28,070,266 14,035,133 42,105,400 21,052,700 10,526,350 5,263,175 15,789,526 7,894,763 23,684,290 11,842,145 35,526,436 17,763,218 8,881,609 26,644,828 13,322,414 6,661,207 19,983,622 9,991,811 29,975,434 14,987,717 44,963,152 22,481,576 11,240,788 5,620,394 2,810,197 8,430,592 4,215,296 2,107,648 1,053,824 526,912 263,456 131,728 65,864 32,932 16,466 8,233 24,700 12,350 6,175 18,526

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