5940
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
- 1
Divisibility
- Divisor Count
- 48
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 14220
- 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
- 1440
- Möbius Function
- 0
- Radical
- 330
- Omega Function (Ω)
- 7
- 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
- 49
- 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
- Degrees of irreducible representations of Suzuki group Suz.at n=8A003902
- Theta series of A_5 lattice.at n=31A008445
- a(n) = floor( n*(n-1)*(n-2)/28 ).at n=56A011910
- Expansion of 1/((1-3*x)*(1-9*x)*(1-12*x)).at n=3A018092
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A000201 (lower Wythoff sequence).at n=33A024863
- a(n) = A026615(2*n, n).at n=7A026616
- a(n) = A026615(n, floor(n/2)).at n=14A026621
- a(n) = T(n,m) + T(n,m+1) + ... + T(n,n), m=[ (n+1)/2 ], T given by A026758.at n=13A026880
- a(n) = (n+1)*binomial(n+1,4).at n=8A027764
- a(n) = (n+1)*binomial(n+1,8).at n=4A027768
- a(n) = 2*(n+1)*binomial(n+3,4).at n=7A027789
- a(n) = 12*(n+1)*binomial(n+3,9).at n=2A027794
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 14.at n=10A031692
- Every run of digits of n in base 14 has length 2.at n=29A033012
- a(n) = n*(n + 1)*(n + 2)*(n + 3)/2.at n=9A033486
- a(n) = 4*n*(2*n + 1).at n=27A033586
- Number of partitions of n into parts not of the form 19k, 19k+5 or 19k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 8 are greater than 1.at n=32A035974
- Expansion of 1/(1-3*x)^10; 10-fold convolution of A000244 (powers of 3).at n=3A036223
- Positive integers having more base-14 runs of even length than odd.at n=31A044840
- Star of David matchstick numbers: a(n) = 6*n*(3*n+1).at n=18A045946