1353
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
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2016
- Proper Divisor Sum (Aliquot Sum)
- 663
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 800
- Möbius Function
- -1
- Radical
- 1353
- Omega Function (Ω)
- 3
- 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
- 39
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- 3rd power of rooted tree enumerator; number of linear forests of 3 rooted trees.at n=7A000242
- Let A(n) = #{(i,j): i^2 + j^2 <= n}, V(n) = Pi*n, P(n) = A(n) - V(n); A000099 gives values of n where |P(n)| sets a new record; sequence gives A(A000099(n)).at n=16A000323
- Expansion of (1+x^3)/((1-x)*(1-x^2)^2*(1-x^3)).at n=34A001973
- Generalized ballot numbers (first differences of Motzkin numbers).at n=9A002026
- Divisors of 2^20 - 1.at n=26A003529
- Divisors of 2^40 - 1.at n=37A003546
- a(n) = floor(Fibonacci(n)/5).at n=20A004698
- a(n) = round(n*phi^10), where phi is the golden ratio, A001622.at n=11A004945
- a(n) = ceiling(n*phi^10), where phi is the golden ratio, A001622.at n=11A004965
- Number of n-bead bracelets (turnover necklaces) of two colors with 6 red beads and n-6 black beads.at n=15A005513
- Quadrinomial coefficients: C(2+n,n) + C(3+n,n) + C(4+n,n).at n=10A005718
- Inverse Moebius transform applied twice to squares.at n=32A007433
- Coordination sequence T1 for Zeolite Code ACO, ASV, EDI, and THO.at n=26A008084
- Coordination sequence T4 for Zeolite Code HEU.at n=24A008119
- Coordination sequence T2 for Zeolite Code SGT.at n=23A008230
- Coordination sequence T2 for Zeolite Code THO.at n=26A008239
- Coordination sequence T2 for Cordierite.at n=22A008252
- a(n) = floor(binomial(n,3)/3).at n=30A011849
- Numbers k such that 3^k - 2 is prime.at n=19A014224
- a(n) = Sum_{i=1..n-1} a(i)*a(n-1-i), with a(0) = 1, a(1) = 3.at n=7A014432