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Atlas › Integer Profiles › Node 17,601,038

17,601,038

2 × 7 × 13 × 97 × 997
Deficient Even Composite

Prime Factor Structure

Factorization String 2 × 7 × 13 × 97 × 997
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 32,862,144
Proper Divisor Sum 15,261,106
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #17601037 ← → #17601043

Radix Representation

Decimal 17601038
Binary 1000011001001001000001110 (25 bits)
Octal 0o103111016
Hexadecimal 0x10C920E

Divisor Catalog (32)

1 2 7 13 14 26 91 97 182 194 679 997 1,261 1,358 1,994 2,522 6,979 8,827 12,961 13,958 17,654 25,922 90,727 96,709 181,454 193,418 676,963 1,257,217 1,353,926 2,514,434 8,800,519 17,601,038

Collatz Trajectory (195 steps to reach 1)

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

17,601,038 8,800,519 26,401,558 13,200,779 39,602,338 19,801,169 59,403,508 29,701,754 14,850,877 44,552,632 22,276,316 11,138,158 5,569,079 16,707,238 8,353,619 25,060,858 12,530,429 37,591,288 18,795,644 9,397,822 4,698,911 14,096,734 7,048,367 21,145,102 10,572,551 31,717,654 15,858,827 47,576,482 23,788,241 71,364,724 35,682,362 17,841,181 53,523,544 26,761,772 13,380,886 6,690,443 20,071,330 10,035,665 30,106,996 15,053,498 7,526,749 22,580,248 11,290,124 5,645,062 2,822,531 8,467,594 4,233,797 12,701,392 6,350,696 3,175,348 1,587,674 793,837 2,381,512 1,190,756 595,378 297,689 893,068 446,534 223,267 669,802

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