λ
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61,384,192

29 × 119891
Deficient Even Composite

61,384,192 factors as 2^9 × 119891. Its 20 positive divisors give a proper-divisor sum of 61,265,324, so this integer is deficient. The Collatz stopping time is 212 steps.

Prime Factor Structure

Factorization String 2^9 × 119891
Distinct Prime Factors 2
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 20
Divisor Sum (σ) 122,649,516
Proper Divisor Sum 61,265,324
Digit Sum / Digital Root 34 (Root: 7)
Adjacent Primes #61384187 ← → #61384241

Radix Representation

Decimal 61384192
Binary 11101010001010011000000000 (26 bits)
Octal 0o352123000
Hexadecimal 0x3A8A600

Divisor Catalog (20)

1 2 4 8 16 32 64 128 256 512 119,891 239,782 479,564 959,128 1,918,256 3,836,512 7,673,024 15,346,048 30,692,096 61,384,192

Collatz Trajectory (212 steps to reach 1)

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

61,384,192 30,692,096 15,346,048 7,673,024 3,836,512 1,918,256 959,128 479,564 239,782 119,891 359,674 179,837 539,512 269,756 134,878 67,439 202,318 101,159 303,478 151,739 455,218 227,609 682,828 341,414 170,707 512,122 256,061 768,184 384,092 192,046 96,023 288,070 144,035 432,106 216,053 648,160 324,080 162,040 81,020 40,510 20,255 60,766 30,383 91,150 45,575 136,726 68,363 205,090 102,545 307,636 153,818 76,909 230,728 115,364 57,682 28,841 86,524 43,262 21,631 64,894

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