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Atlas › Integer Profiles › Node 5,200,569

5,200,569

32 × 11 × 131 × 401
Deficient Odd Composite

5,200,569 factors as 3^2 × 11 × 131 × 401. Its 24 positive divisors give a proper-divisor sum of 3,077,415, so this integer is deficient. The Collatz stopping time is 157 steps.

Prime Factor Structure

Factorization String 3^2 × 11 × 131 × 401
Distinct Prime Factors 4
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 24
Divisor Sum (σ) 8,277,984
Proper Divisor Sum 3,077,415
Digit Sum / Digital Root 27 (Root: 9)
Adjacent Primes #5200567 ← → #5200579

Radix Representation

Decimal 5200569
Binary 10011110101101010111001 (23 bits)
Octal 0o23655271
Hexadecimal 0x4F5AB9

Divisor Catalog (24)

1 3 9 11 33 99 131 393 401 1,179 1,203 1,441 3,609 4,323 4,411 12,969 13,233 39,699 52,531 157,593 472,779 577,841 1,733,523 5,200,569

Collatz Trajectory (157 steps to reach 1)

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

5,200,569 15,601,708 7,800,854 3,900,427 11,701,282 5,850,641 17,551,924 8,775,962 4,387,981 13,163,944 6,581,972 3,290,986 1,645,493 4,936,480 2,468,240 1,234,120 617,060 308,530 154,265 462,796 231,398 115,699 347,098 173,549 520,648 260,324 130,162 65,081 195,244 97,622 48,811 146,434 73,217 219,652 109,826 54,913 164,740 82,370 41,185 123,556 61,778 30,889 92,668 46,334 23,167 69,502 34,751 104,254 52,127 156,382 78,191 234,574 117,287 351,862 175,931 527,794 263,897 791,692 395,846 197,923

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