λ
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Atlas › Integer Profiles › Node 34,161,335

34,161,335

5 × 13 × 19 × 139 × 199
Deficient Odd Composite

34,161,335 factors as 5 × 13 × 19 × 139 × 199. Its 32 positive divisors give a proper-divisor sum of 12,878,665, so this integer is deficient. The Collatz stopping time is 214 steps.

Prime Factor Structure

Factorization String 5 × 13 × 19 × 139 × 199
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 47,040,000
Proper Divisor Sum 12,878,665
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #34161329 ← → #34161343

Radix Representation

Decimal 34161335
Binary 10000010010100001010110111 (26 bits)
Octal 0o202241267
Hexadecimal 0x20942B7

Divisor Catalog (32)

1 5 13 19 65 95 139 199 247 695 995 1,235 1,807 2,587 2,641 3,781 9,035 12,935 13,205 18,905 27,661 34,333 49,153 138,305 171,665 245,765 359,593 525,559 1,797,965 2,627,795 6,832,267 34,161,335

Collatz Trajectory (214 steps to reach 1)

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

34,161,335 102,484,006 51,242,003 153,726,010 76,863,005 230,589,016 115,294,508 57,647,254 28,823,627 86,470,882 43,235,441 129,706,324 64,853,162 32,426,581 97,279,744 48,639,872 24,319,936 12,159,968 6,079,984 3,039,992 1,519,996 759,998 379,999 1,139,998 569,999 1,709,998 854,999 2,564,998 1,282,499 3,847,498 1,923,749 5,771,248 2,885,624 1,442,812 721,406 360,703 1,082,110 541,055 1,623,166 811,583 2,434,750 1,217,375 3,652,126 1,826,063 5,478,190 2,739,095 8,217,286 4,108,643 12,325,930 6,162,965 18,488,896 9,244,448 4,622,224 2,311,112 1,155,556 577,778 288,889 866,668 433,334 216,667

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