λ
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Atlas › Integer Profiles › Node 3,079,881

3,079,881

32 × 7 × 19 × 31 × 83
Deficient Odd Composite

3,079,881 factors as 3^2 × 7 × 19 × 31 × 83. Its 48 positive divisors give a proper-divisor sum of 2,511,159, so this integer is deficient. The Collatz stopping time is 226 steps.

Prime Factor Structure

Factorization String 3^2 × 7 × 19 × 31 × 83
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 48
Divisor Sum (σ) 5,591,040
Proper Divisor Sum 2,511,159
Digit Sum / Digital Root 36 (Root: 9)
Adjacent Primes #3079871 ← → #3079891

Radix Representation

Decimal 3079881
Binary 1011101111111011001001 (22 bits)
Octal 0o13577311
Hexadecimal 0x2EFEC9

Divisor Catalog (48)

1 3 7 9 19 21 31 57 63 83 93 133 171 217 249 279 399 581 589 651 747 1,197 1,577 1,743 1,767 1,953 2,573 4,123 4,731 5,229 5,301 7,719 11,039 12,369 14,193 18,011 23,157 33,117 37,107 48,887 54,033 99,351 146,661 162,099 342,209 439,983 1,026,627 3,079,881

Collatz Trajectory (226 steps to reach 1)

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

3,079,881 9,239,644 4,619,822 2,309,911 6,929,734 3,464,867 10,394,602 5,197,301 15,591,904 7,795,952 3,897,976 1,948,988 974,494 487,247 1,461,742 730,871 2,192,614 1,096,307 3,288,922 1,644,461 4,933,384 2,466,692 1,233,346 616,673 1,850,020 925,010 462,505 1,387,516 693,758 346,879 1,040,638 520,319 1,560,958 780,479 2,341,438 1,170,719 3,512,158 1,756,079 5,268,238 2,634,119 7,902,358 3,951,179 11,853,538 5,926,769 17,780,308 8,890,154 4,445,077 13,335,232 6,667,616 3,333,808 1,666,904 833,452 416,726 208,363 625,090 312,545 937,636 468,818 234,409 703,228

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