λ
Ratio Atlas

52,561,007

43 × 853 × 1433
Deficient Odd Composite

52,561,007 factors as 43 × 853 × 1433. Its 8 positive divisors give a proper-divisor sum of 1,322,977, so this integer is deficient. The Collatz stopping time is 199 steps.

Prime Factor Structure

Factorization String 43 × 853 × 1433
Distinct Prime Factors 3
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 8
Divisor Sum (σ) 53,883,984
Proper Divisor Sum 1,322,977
Digit Sum / Digital Root 26 (Root: 8)
Adjacent Primes #52560983 ← → #52561037

Radix Representation

Decimal 52561007
Binary 11001000100000010001101111 (26 bits)
Octal 0o310402157
Hexadecimal 0x322046F

Divisor Catalog (8)

Collatz Trajectory (199 steps to reach 1)

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

52,561,007 157,683,022 78,841,511 236,524,534 118,262,267 354,786,802 177,393,401 532,180,204 266,090,102 133,045,051 399,135,154 199,567,577 598,702,732 299,351,366 149,675,683 449,027,050 224,513,525 673,540,576 336,770,288 168,385,144 84,192,572 42,096,286 21,048,143 63,144,430 31,572,215 94,716,646 47,358,323 142,074,970 71,037,485 213,112,456 106,556,228 53,278,114 26,639,057 79,917,172 39,958,586 19,979,293 59,937,880 29,968,940 14,984,470 7,492,235 22,476,706 11,238,353 33,715,060 16,857,530 8,428,765 25,286,296 12,643,148 6,321,574 3,160,787 9,482,362 4,741,181 14,223,544 7,111,772 3,555,886 1,777,943 5,333,830 2,666,915 8,000,746 4,000,373 12,001,120

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