10420
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 7
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 21924
- Proper Divisor Sum (Aliquot Sum)
- 11504
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4160
- Möbius Function
- 0
- Radical
- 5210
- 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
- 104
- 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
- a(n) = floor(n*phi^13), where phi is the golden ratio, A001622.at n=20A004928
- a(n) = round(n*phi^13), where phi is the golden ratio, A001622.at n=20A004948
- Number of aperiodic binary necklaces of length n with no subsequence 00, excluding the necklace "0".at n=25A006206
- Number of 4-voter voting schemes with n linearly ranked choices.at n=6A007010
- a(n) = n*(13*n + 1)/2.at n=40A022271
- Positive numbers k such that k and 2*k are anagrams in base 8 (written in base 8).at n=18A023073
- Positive numbers k such that k and 4*k are anagrams in base 8 (written in base 8).at n=9A023075
- Positive numbers having the same set of digits in base 6 and base 10.at n=24A037437
- Number of orbits of length n under the map whose periodic points are counted by A001350.at n=25A060280
- a(n) = A061419(n) - A002379(n).at n=24A083198
- Expansion of q^(-1/2)(eta(q^2)eta(q^10)/(eta(q)eta(q^5)))^2 in powers of q.at n=25A093830
- Number of partitions of an n-set with an odd number of blocks of size 1.at n=8A111723
- Nonnegative values x of solutions (x, y) to the Diophantine equation x^2+(x+521)^2 = y^2.at n=6A129725
- a(n) = (p(n)*p(n+2) - p(n+1))/2, where p(n) is the n-th odd prime.at n=32A152531
- a(0)=4; a(n)=n^2+a(n-1) for n>0.at n=31A153058
- Partial sums of [A052938(n)^2].at n=46A162899
- Total number of smallest parts in all partitions of n that do not contain 1 as a part.at n=36A195820
- Number of -2..2 arrays x(i) of n+1 elements i=1..n+1 with set{t,u,v in 0,1}((x[i+t]+x[j+u]+x[k+v])*(-1)^(t+u+v)) having two, four, six, seven or eight distinct values for every i,j,k<=n.at n=6A211596
- Number of (n+1) X (n+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock.at n=5A235946
- Number of (n+1) X (6+1) 0..2 arrays colored with the upper median value of each 2 X 2 subblock.at n=5A235952