52,007,669

7² × 23 × 46147

52,007,669 factors as 7^2 × 23 × 46147. Its 12 positive divisors give a proper-divisor sum of 11,122,795, so this integer is deficient. The Collatz stopping time is 155 steps.

Prime Factor Structure

Factorization String 7^2 × 23 × 46147

Distinct Prime Factors 3

Square Status No

Abundance Measure Deficient

Analytical Properties

Total Divisors 12

Divisor Sum (σ) 63,130,464

Proper Divisor Sum 11,122,795

Digit Sum / Digital Root 35 (Root: 8)

Adjacent Primes #52007633 ← → #52007689

Radix Representation

Decimal	52007669
Binary	11000110011001001011110101 (26 bits)
Octal	0o306311365
Hexadecimal	0x31992F5

Divisor Catalog (12)

1 7 23 49 161 1,127 46,147 323,029 1,061,381 2,261,203 7,429,667 52,007,669

Collatz Trajectory (155 steps to reach 1)

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

52,007,669 156,023,008 78,011,504 39,005,752 19,502,876 9,751,438 4,875,719 14,627,158 7,313,579 21,940,738 10,970,369 32,911,108 16,455,554 8,227,777 24,683,332 12,341,666 6,170,833 18,512,500 9,256,250 4,628,125 13,884,376 6,942,188 3,471,094 1,735,547 5,206,642 2,603,321 7,809,964 3,904,982 1,952,491 5,857,474 2,928,737 8,786,212 4,393,106 2,196,553 6,589,660 3,294,830 1,647,415 4,942,246 2,471,123 7,413,370 3,706,685 11,120,056 5,560,028 2,780,014 1,390,007 4,170,022 2,085,011 6,255,034 3,127,517 9,382,552 4,691,276 2,345,638 1,172,819 3,518,458 1,759,229 5,277,688 2,638,844 1,319,422 659,711 1,979,134

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