5196
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 12152
- Proper Divisor Sum (Aliquot Sum)
- 6956
- 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
- 1728
- Möbius Function
- 0
- Radical
- 2598
- 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
- no
- Harshad Number
- no
- 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
- Coordination sequence T6 for Zeolite Code EUO.at n=45A008101
- Coordination sequence T4 for Zeolite Code NES.at n=46A008208
- a(n)/1000 gives sqrt(n) to 3 places after the decimal point.at n=26A027662
- Numbers k such that the least term in the periodic part of the continued fraction for sqrt(k) is 12.at n=11A031690
- Coordination sequence T2 for Zeolite Code AEN.at n=45A047951
- a(n) = Sum_{k=1..n, gcd(n,k) = 1} k^2.at n=35A053818
- McKay-Thompson series of class 28D for Monster.at n=27A058609
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 85 ).at n=20A063358
- Numbers m such that phi(m) = tau(m)^3.at n=10A068559
- Positions of A080299 in A014486.at n=16A080298
- Number of linear arrangements of n blue, n red and n green items such that there are no adjacent items of the same color (first and last elements considered as adjacent).at n=4A110707
- Numbers k such that sigma(k) plus the k-th prime is a triangular number.at n=24A115907
- Numbers k such that k^3 contains a pandigital substring.at n=2A115933
- Numbers n such that every digit occurs at least once in n^3.at n=10A119735
- Number of n-node triangulations of the projective plane N_1 in which every node has degree >= 5.at n=12A129045
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, -1), (-1, -1, 0), (0, 0, 1), (0, 1, -1), (1, 0, 0)}.at n=8A149859
- Number of planar n X n X n binary triangular grids with no more than 3 ones in any similarly oriented 5 X 5 X 5 subtriangle.at n=6A153565
- a(n) = 216*n + 12.at n=23A154519
- a(n) = 36*n^2 + n.at n=11A157324
- 144n^2 + 2n.at n=5A158132