5274
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11466
- Proper Divisor Sum (Aliquot Sum)
- 6192
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1752
- Möbius Function
- 0
- Radical
- 1758
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 3
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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 54
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Self-convolution of natural numbers >= 3.at n=26A023551
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=41A025056
- [ exp(1/22)*n! ].at n=6A030839
- a(n) = 26 + 2^(n+1)*(-13 +9*n -3*n^2 +n^3).at n=5A036827
- Number of pairs {i,j}, i>1, j>1, such that ij < n^2.at n=41A037048
- Numbers whose base-4 representation contains exactly three 1's and three 2's.at n=31A045103
- Numbers which are the sum of their proper divisors containing the digit 7.at n=6A059466
- First of 3 consecutive numbers which are cubefree and not squarefree, i.e., numbers k such that {k, k+1, k+2} are in A067259.at n=28A071319
- Smallest k such that k*Mersenne_prime(n)^2 -1 (or k*A000668(n)^2 -1) is prime.at n=23A098818
- Rounded frequencies in Hertz of the notes of the C major music scale beginning at A (A Minor equal-tempered).at n=46A101285
- G.f. satisfies: A(x) = Sum_{n>=0} x^n * A(x)^(n^2-n).at n=8A107594
- Numbers k such that the sum of the digits of pi(k)^prime(k) is divisible by k.at n=10A109710
- Numbers k such that k and 7*k, taken together, are zeroless pandigital.at n=3A115931
- Partial sums of A174928.at n=17A174929
- Numbers k such that k^3 +-5 are primes.at n=23A176684
- Numbers n such that there is at least one pair of twin primes 2^n - 2^k - 1 and 2^n - 2^k + 1 with n/2 <= k < n.at n=37A181408
- Coefficients in g.f. for certain marked mesh patterns.at n=5A182541
- Number of partitions of n^2 into three distinct primes.at n=52A183168
- Number of permutations of 1..n with displacements restricted to {-7,-6,-5,-4,-3,-1,0,2}.at n=12A189601
- Concatenation of n and the n-th composite number.at n=51A191992