1692
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
- 18
- Divisor Sum
- 4368
- Proper Divisor Sum (Aliquot Sum)
- 2676
- 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
- 552
- Möbius Function
- 0
- Radical
- 282
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 34
- 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
- Number of trimmed trees with n nodes.at n=16A002988
- a(n) = ceiling(n*phi^8), where phi is the golden ratio, A001622.at n=36A004963
- Number of points on surface of cuboctahedron (or icosahedron): a(0) = 1; for n > 0, a(n) = 10n^2 + 2. Also coordination sequence for f.c.c. or A_3 or D_3 lattice.at n=13A005901
- Number of 3rd-order maximal independent sets in cycle graph.at n=34A007387
- Exponential-convolution of triangular numbers with themselves.at n=5A007465
- Number of planted identity trees where non-root, non-leaf nodes an even distance from root are of degree 2.at n=17A007560
- Poincaré series [or Poincare series] of Lie algebra associated with a certain braid group.at n=9A007990
- Coordination sequence T3 for Zeolite Code AFT.at n=31A008028
- Coordination sequence T2 for Zeolite Code EAB and OFF.at n=30A008083
- Coordination sequence T2 for Zeolite Code ERI.at n=30A008094
- Coordination sequence for diamond.at n=26A008253
- Expansion of (1+x^5)/((1-x)*(1-x^2)*(1-x^3)*(1-x^4)).at n=47A008766
- Coordination sequence T2 for Zeolite Code -PAR.at n=29A009856
- Coordination sequence for CaF2(2), Ca position.at n=26A009926
- Coordination sequence for FeS2-Pyrite, Fe position.at n=20A009957
- Expansion of Product_{m>=1} (1 + m*q^m)^-3.at n=14A022695
- Sum of remainders of n mod prime(k), for k = 1,2,3,...,n.at n=47A024925
- a(n) = floor(floor(S3)/floor(S1)), where S3 and S1 are, respectively, the 3rd and first elementary symmetric functions of {sqrt(k), k = 1,2,...,n}.at n=26A025200
- [ Sum (s(j) - s(i))^2 ], 1 <= i < j <= n, where s(k) = 1 + 1/2 + ... + 1/k.at n=48A025216
- Index of 9^n within the sequence of the numbers of the form 2^i*9^j.at n=32A025734