5299
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 6064
- Proper Divisor Sum (Aliquot Sum)
- 765
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- 1
- Radical
- 5299
- Omega Function (Ω)
- 2
- Little Omega Function (ω)
- 2
Special
- Factorial
- no
- Catalan Number
- no
- Bell Number
- no
- Motzkin Number
- no
- Primorial
- no
Figurate Numbers
- Fibonacci Number
- no
- Triangular Number
- no
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- no
- Lucas Number
- no
- Tetrahedral Number
- no
- Pell Number
- no
- Tribonacci Number
- no
- Pronic Number
- no
Recreational
- Happy Number
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 98
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- Squarefree Number
- yes
- Prime Power
- no
- Prime Factorization
- no
- Twin Prime
- no
- Mersenne Prime
- no
- Sophie Germain Prime
- no
- Safe Prime
- no
- Powerful Number
- no
- Achilles Number
- no
- Perfect Power
- no
- Smooth Number
- no
- Carmichael Number
- no
Classification
- Even
- no
- Odd
- yes
Appears in sequences
- a(n) = Sum_{ d >= 1, d divides n} (-1)^(n-d)*d^3.at n=17A008457
- Pseudoprimes to base 27.at n=36A020155
- Numbers k such that the continued fraction for sqrt(k) has period 54.at n=27A020393
- Composite numbers whose prime factors contain no digits other than 5 and 7.at n=19A036320
- Conjecturally, a power of 2 written in base 3 cannot have this many 2's.at n=38A036463
- In ternary expansion of n, reading from right to left, digits occur in order ...,0,1,2,0,1,2,...at n=16A037078
- Base 3 digits are, in order, the first n terms of the periodic sequence with initial period 2,1,0.at n=7A037520
- Numerators of continued fraction convergents to sqrt(261).at n=4A041488
- Numerators of continued fraction convergents to sqrt(464).at n=8A041884
- a(n) = Sum_{d divides n} (-1)^(n/d+1)*d^3.at n=17A078307
- Gregorian calendar years with Ascension Day in April.at n=16A084427
- Beginning with 1, numbers such that the differences a(k)-a(k-1) are distinct and every concatenation n>1 is prime.at n=34A090504
- Numbers k such that k^6+6 is prime.at n=23A109836
- a(n) = floor(lcm(1,2,...n)/(1+2+...+n)).at n=15A109922
- Number of partitions of n into parts relatively prime to 63 and not == 2 (mod 4).at n=46A119952
- a(n) = 8 + floor( (1 + Sum_{j=1..n-1} a(j)) / 2).at n=16A120137
- a(n) = a(n - 1) - 2*a(n - 2) + a(n - 3) - 2*a(n - 4) + a(n - 5).at n=38A122582
- Smallest semiprimes such that a(j) - a(k) are all different.at n=48A135257
- a(n) = the smallest positive integer that, when written in binary, contains both binary n and the binary representation of the n-th prime as substrings.at n=40A165821
- Numbers m such that (6*m)^5 is a sum of a twin prime pair.at n=28A173560