λ
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Atlas › Integer Profiles › Node 12,200,030

12,200,030

2 × 5 × 67 × 131 × 139
Deficient Even Composite

12,200,030 factors as 2 × 5 × 67 × 131 × 139. Its 32 positive divisors give a proper-divisor sum of 10,419,490, so this integer is deficient. The Collatz stopping time is 197 steps.

Prime Factor Structure

Factorization String 2 × 5 × 67 × 131 × 139
Distinct Prime Factors 5
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 32
Divisor Sum (σ) 22,619,520
Proper Divisor Sum 10,419,490
Digit Sum / Digital Root 8 (Root: 8)
Adjacent Primes #12200029 ← → #12200053

Radix Representation

Decimal 12200030
Binary 101110100010100001011110 (24 bits)
Octal 0o56424136
Hexadecimal 0xBA285E

Divisor Catalog (32)

1 2 5 10 67 131 134 139 262 278 335 655 670 695 1,310 1,390 8,777 9,313 17,554 18,209 18,626 36,418 43,885 46,565 87,770 91,045 93,130 182,090 1,220,003 2,440,006 6,100,015 12,200,030

Collatz Trajectory (197 steps to reach 1)

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

12,200,030 6,100,015 18,300,046 9,150,023 27,450,070 13,725,035 41,175,106 20,587,553 61,762,660 30,881,330 15,440,665 46,321,996 23,160,998 11,580,499 34,741,498 17,370,749 52,112,248 26,056,124 13,028,062 6,514,031 19,542,094 9,771,047 29,313,142 14,656,571 43,969,714 21,984,857 65,954,572 32,977,286 16,488,643 49,465,930 24,732,965 74,198,896 37,099,448 18,549,724 9,274,862 4,637,431 13,912,294 6,956,147 20,868,442 10,434,221 31,302,664 15,651,332 7,825,666 3,912,833 11,738,500 5,869,250 2,934,625 8,803,876 4,401,938 2,200,969 6,602,908 3,301,454 1,650,727 4,952,182 2,476,091 7,428,274 3,714,137 11,142,412 5,571,206 2,785,603

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