λ
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Atlas › Integer Profiles › Node 30,098,194

30,098,194

2 × 7 × 172 × 43 × 173
Deficient Even Composite

30,098,194 factors as 2 × 7 × 17^2 × 43 × 173. Its 48 positive divisors give a proper-divisor sum of 26,311,214, so this integer is deficient. The Collatz stopping time is 206 steps.

Prime Factor Structure

Factorization String 2 × 7 × 17^2 × 43 × 173
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 56,409,408
Proper Divisor Sum 26,311,214
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #30098171 ← → #30098231

Radix Representation

Decimal 30098194
Binary 1110010110100001100010010 (25 bits)
Octal 0o162641422
Hexadecimal 0x1CB4312

Divisor Catalog (48)

1 2 7 14 17 34 43 86 119 173 238 289 301 346 578 602 731 1,211 1,462 2,023 2,422 2,941 4,046 5,117 5,882 7,439 10,234 12,427 14,878 20,587 24,854 41,174 49,997 52,073 86,989 99,994 104,146 126,463 173,978 252,926 349,979 699,958 885,241 1,770,482 2,149,871 4,299,742 15,049,097 30,098,194

Collatz Trajectory (206 steps to reach 1)

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

30,098,194 15,049,097 45,147,292 22,573,646 11,286,823 33,860,470 16,930,235 50,790,706 25,395,353 76,186,060 38,093,030 19,046,515 57,139,546 28,569,773 85,709,320 42,854,660 21,427,330 10,713,665 32,140,996 16,070,498 8,035,249 24,105,748 12,052,874 6,026,437 18,079,312 9,039,656 4,519,828 2,259,914 1,129,957 3,389,872 1,694,936 847,468 423,734 211,867 635,602 317,801 953,404 476,702 238,351 715,054 357,527 1,072,582 536,291 1,608,874 804,437 2,413,312 1,206,656 603,328 301,664 150,832 75,416 37,708 18,854 9,427 28,282 14,141 42,424 21,212 10,606 5,303

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