52,084,124

2² × 17 × 109 × 7027

52,084,124 factors as 2^2 × 17 × 109 × 7027. Its 24 positive divisors give a proper-divisor sum of 45,323,956, so this integer is deficient. The Collatz stopping time is 256 steps.

Prime Factor Structure

Factorization String 2^2 × 17 × 109 × 7027

Distinct Prime Factors 4

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 24

Divisor Sum (σ) 97,408,080

Proper Divisor Sum 45,323,956

Digit Sum / Digital Root 26 (Root: 8)

Adjacent Primes #52084117 ← → #52084129

Radix Representation

Decimal	52084124
Binary	11000110101011110110011100 (26 bits)
Octal	0o306536634
Hexadecimal	0x31ABD9C

Divisor Catalog (24)

Collatz Trajectory (256 steps to reach 1)

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

52,084,124 26,042,062 13,021,031 39,063,094 19,531,547 58,594,642 29,297,321 87,891,964 43,945,982 21,972,991 65,918,974 32,959,487 98,878,462 49,439,231 148,317,694 74,158,847 222,476,542 111,238,271 333,714,814 166,857,407 500,572,222 250,286,111 750,858,334 375,429,167 1,126,287,502 563,143,751 1,689,431,254 844,715,627 2,534,146,882 1,267,073,441 3,801,220,324 1,900,610,162 950,305,081 2,850,915,244 1,425,457,622 712,728,811 2,138,186,434 1,069,093,217 3,207,279,652 1,603,639,826 801,819,913 2,405,459,740 1,202,729,870 601,364,935 1,804,094,806 902,047,403 2,706,142,210 1,353,071,105 4,059,213,316 2,029,606,658 1,014,803,329 3,044,409,988 1,522,204,994 761,102,497 2,283,307,492 1,141,653,746 570,826,873 1,712,480,620 856,240,310 428,120,155

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