5660
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 11928
- Proper Divisor Sum (Aliquot Sum)
- 6268
- 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
- 2256
- Möbius Function
- 0
- Radical
- 2830
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 36
- 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
- Dodecahedral surface numbers: a(0)=0, a(1)=1, a(2)=20, thereafter 2*((3*n-7)^2 + 21).at n=20A007589
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite AFR = SAPO-40 [Si7Al29P28O128].4TPA.OH starting with a T2 atom.at n=5A018961
- Numbers k such that k-1, k-3, k-7 and k-9 are all prime.at n=10A064974
- Number of inequivalent ways a semi-infinite curve can cross a straight line n times.at n=10A086441
- Sequence A136382 shown in octal base.at n=2A136383
- Numbers k such that k and k^2 use only the digits 0, 2, 3, 5 and 6.at n=35A136888
- Number of directed "king tours" on an n X n board.at n=3A140521
- Convolution square of A003114.at n=31A145467
- Number of n X 2 1..4 arrays with all 1's connected, all 2's connected, all 3's connected, all 4's connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=37A164754
- Numbers k such that d(k) = d(k+1) = 12.at n=40A174456
- a(n) = n*(7*n+3)/2.at n=40A186029
- The sum of the Fibonacci and shifted tribonacci sequences.at n=17A186272
- a(n) = n*(14*n + 3).at n=20A195025
- Number of n X 3 0..2 arrays with no element equal to the sum modulo 3 of elements to its left or elements above it.at n=7A238721
- T(n,k)=Number of nXk 0..2 arrays with no element equal to the sum modulo 3 of elements to its left or elements above it.at n=47A238726
- T(n,k)=Number of nXk 0..2 arrays with no element equal to the sum modulo 3 of elements to its left or elements above it.at n=52A238726
- Number of strict partitions of 2n + 1 having 1 more even part than odd, so that there is at least one ordering of the parts in which the even and odd parts alternate, and the first and last terms are even.at n=35A239873
- Numbers k such that anti-phi(k) = anti-phi(k+1).at n=26A241003
- Numbers k for which the alternating sum of the digits of k^k is +-1.at n=43A245387
- Numbers n such that the decimal expansions of both n and n^2 have 0 as smallest digit and 6 as largest digit.at n=38A256633