λ
Ratio Atlas

41,200,513

41200513
Deficient Odd Prime

41,200,513 factors as 41200513. Its 2 positive divisors give a proper-divisor sum of 1, so this integer is deficient. The Collatz stopping time is 209 steps.

Prime Factor Structure

Factorization String 41200513
Distinct Prime Factors 1
Square Status No
Abundance Measure Deficient

Analytical Properties

Total Divisors 2
Divisor Sum (σ) 41,200,514
Proper Divisor Sum 1
Digit Sum / Digital Root 16 (Root: 7)
Adjacent Primes #41200507 ← → #41200517

Radix Representation

Decimal 41200513
Binary 10011101001010101110000001 (26 bits)
Octal 0o235125601
Hexadecimal 0x274AB81

Divisor Catalog (2)

Collatz Trajectory (209 steps to reach 1)

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

41,200,513 123,601,540 61,800,770 30,900,385 92,701,156 46,350,578 23,175,289 69,525,868 34,762,934 17,381,467 52,144,402 26,072,201 78,216,604 39,108,302 19,554,151 58,662,454 29,331,227 87,993,682 43,996,841 131,990,524 65,995,262 32,997,631 98,992,894 49,496,447 148,489,342 74,244,671 222,734,014 111,367,007 334,101,022 167,050,511 501,151,534 250,575,767 751,727,302 375,863,651 1,127,590,954 563,795,477 1,691,386,432 845,693,216 422,846,608 211,423,304 105,711,652 52,855,826 26,427,913 79,283,740 39,641,870 19,820,935 59,462,806 29,731,403 89,194,210 44,597,105 133,791,316 66,895,658 33,447,829 100,343,488 50,171,744 25,085,872 12,542,936 6,271,468 3,135,734 1,567,867

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