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Atlas › Integer Profiles › Node 17,825,367

17,825,367

3 × 73 × 17 × 1019
Deficient Odd Composite

17,825,367 factors as 3 × 7^3 × 17 × 1019. Its 32 positive divisors give a proper-divisor sum of 11,550,633, so this integer is deficient. The Collatz stopping time is 151 steps.

Prime Factor Structure

Factorization String 3 × 7^3 × 17 × 1019
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 29,376,000
Proper Divisor Sum 11,550,633
Digit Sum / Digital Root 39 (Root: 3)
Adjacent Primes #17825303 ← → #17825369

Radix Representation

Decimal 17825367
Binary 1000011111111111001010111 (25 bits)
Octal 0o103777127
Hexadecimal 0x10FFE57

Divisor Catalog (32)

1 3 7 17 21 49 51 119 147 343 357 833 1,019 1,029 2,499 3,057 5,831 7,133 17,323 17,493 21,399 49,931 51,969 121,261 149,793 349,517 363,783 848,827 1,048,551 2,546,481 5,941,789 17,825,367

Collatz Trajectory (151 steps to reach 1)

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

17,825,367 53,476,102 26,738,051 80,214,154 40,107,077 120,321,232 60,160,616 30,080,308 15,040,154 7,520,077 22,560,232 11,280,116 5,640,058 2,820,029 8,460,088 4,230,044 2,115,022 1,057,511 3,172,534 1,586,267 4,758,802 2,379,401 7,138,204 3,569,102 1,784,551 5,353,654 2,676,827 8,030,482 4,015,241 12,045,724 6,022,862 3,011,431 9,034,294 4,517,147 13,551,442 6,775,721 20,327,164 10,163,582 5,081,791 15,245,374 7,622,687 22,868,062 11,434,031 34,302,094 17,151,047 51,453,142 25,726,571 77,179,714 38,589,857 115,769,572 57,884,786 28,942,393 86,827,180 43,413,590 21,706,795 65,120,386 32,560,193 97,680,580 48,840,290 24,420,145

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