1576
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 2970
- Proper Divisor Sum (Aliquot Sum)
- 1394
- 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
- 784
- Möbius Function
- 0
- Radical
- 394
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 2
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
- 29
- 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
- Let A(n) = #{(i,j,k): i^2 + j^2 + k^2 <= n}, V(n) = (4/3)Pi*n^(3/2), P(n) = A(n) - V(n); A000092 gives values of n where |P(n)| sets a new record; sequence gives (nearest integer to, I believe) P(A000092(n)).at n=39A000223
- Number of bipartite partitions of n white objects and 5 black ones.at n=8A000491
- Number of bipartite partitions of n white objects and 8 black ones.at n=5A002757
- Number of irreducible positions of size n in Montreal solitaire.at n=8A007048
- Coordination sequence T3 for Zeolite Code AFT.at n=30A008028
- Coordination sequence T2 for Zeolite Code PAU.at n=29A008220
- Coordination sequence T4 for Zeolite Code PAU.at n=29A008222
- Expansion of exp(x)/cos(sinh(x)).at n=7A009290
- Expansion of sinh(x)*exp(tan(x)).at n=7A009624
- Coordination sequence T2 for Zeolite Code CON.at n=28A009869
- Coordination sequence T5 for Zeolite Code RSN.at n=26A009889
- Coordination sequence T5 for Zeolite Code RUT.at n=26A009901
- Five iterations of Reverse and Add are needed to reach a palindrome.at n=35A015982
- Expansion of 1/(1-x^9-x^10-x^11-x^12-x^13-x^14-x^15-x^16-x^17-x^18-x^19).at n=54A017886
- Coordination sequence T4 for Zeolite Code SAO.at n=31A019574
- Numbers k such that the continued fraction for sqrt(k) has period 42.at n=7A020381
- Numbers k such that Fib(k) == -21 (mod k).at n=19A023168
- Least m such that if r and s in {1/1, 1/4, 1/9,..., 1/n^2} satisfy r < s, then r < k/m < s for some integer k.at n=16A024827
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 19.at n=14A031517
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 20 ones.at n=12A031788