5340
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 15120
- Proper Divisor Sum (Aliquot Sum)
- 9780
- 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
- 1408
- Möbius Function
- 0
- Radical
- 2670
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 147
- 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
- Octahedral numbers: a(n) = n*(2*n^2 + 1)/3.at n=20A005900
- Expansion of (1+x^2)/((1-x)^2*(1-x^2)^2).at n=38A005993
- Expansion of e.g.f. log(1+x)/exp(tan(x)).at n=7A009438
- a(n) = (d(n)-r(n))/5, where d = A026060 and r is the periodic sequence with fundamental period (0,0,1,4,0).at n=45A026062
- Expansion of Molien series for 4-D extraspecial group 2^{1+2*2}.at n=39A030533
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 36.at n=41A031534
- "DHK[ 6 ]" (bracelet, identity, unlabeled, 6 parts) transform of 1,1,1,1,...at n=18A032247
- Numbers k such that 147*2^k+1 is prime.at n=27A032423
- Numbers k such that A174141(k) is divisible by k.at n=31A032581
- Four times pentagonal numbers: a(n) = 2*n*(3*n-1).at n=30A033579
- Number of partitions in parts not of the form 23k, 23k+3 or 23k-3. Also number of partitions with at most 2 parts of size 1 and differences between parts at distance 10 are greater than 1.at n=33A035991
- Triangle of coefficients of certain Sheffer-polynomials.at n=25A048870
- Composite numbers n such that number of nonprime d with 0 < d < n, gcd(n,d)=1, is pi(n).at n=7A049012
- Numbers k such that k and its reversal are both multiples of 15.at n=29A062905
- Non-palindromic number and its reversal are both multiples of 15.at n=24A062914
- Number of orbits into which the Foata transform partitions the symmetric group Sn, i.e., a(n) is the number of cycles in the permutations A065181 - A065184 found in range [0,n!-1].at n=10A065161
- Smallest multiple of prime(n) with n divisors, or 0 if no such number exists.at n=23A076962
- Successively larger 3-ball ground-state site swaps of A084501 in concatenated decimal notation.at n=24A084502
- Successively larger 3-ball indecomposable ground-state site swaps of A084511 in concatenated decimal notation.at n=9A084512
- Successively larger 3-ball 'prime' ground-state site swaps of A084521 in concatenated decimal notation.at n=8A084522