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Atlas › Integer Profiles › Node 4,158,099

4,158,099

32 × 11 × 97 × 433
Deficient Odd Composite

4,158,099 factors as 3^2 × 11 × 97 × 433. Its 24 positive divisors give a proper-divisor sum of 2,476,893, so this integer is deficient. The Collatz stopping time is 167 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 97 × 433
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 6,634,992
Proper Divisor Sum 2,476,893
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #4158083 ← → #4158103

Radix Representation

Decimal 4158099
Binary 1111110111001010010011 (22 bits)
Octal 0o17671223
Hexadecimal 0x3F7293

Divisor Catalog (24)

1 3 9 11 33 97 99 291 433 873 1,067 1,299 3,201 3,897 4,763 9,603 14,289 42,001 42,867 126,003 378,009 462,011 1,386,033 4,158,099

Collatz Trajectory (167 steps to reach 1)

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

4,158,099 12,474,298 6,237,149 18,711,448 9,355,724 4,677,862 2,338,931 7,016,794 3,508,397 10,525,192 5,262,596 2,631,298 1,315,649 3,946,948 1,973,474 986,737 2,960,212 1,480,106 740,053 2,220,160 1,110,080 555,040 277,520 138,760 69,380 34,690 17,345 52,036 26,018 13,009 39,028 19,514 9,757 29,272 14,636 7,318 3,659 10,978 5,489 16,468 8,234 4,117 12,352 6,176 3,088 1,544 772 386 193 580 290 145 436 218 109 328 164 82 41 124

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