16060
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 13
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 37296
- Proper Divisor Sum (Aliquot Sum)
- 21236
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5760
- Möbius Function
- 0
- Radical
- 8030
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 45
- 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
- Multiplicity of highest weight (or singular) vectors associated with character chi_21 of Monster module.at n=41A034409
- 4-white numbers: partition digits of n^4 into blocks of 4 starting at right; sum of these 4-digit numbers equals n.at n=7A037044
- Numerators of continued fraction convergents to sqrt(402).at n=2A041762
- a(n) = T(n,n-5), array T as in A055807.at n=19A055810
- Index of the first occurrence of prime(n) in A092938.at n=44A092939
- Numbers k such that k+1, k+3, k+7 and k+9 are all primes.at n=15A125855
- Number of ways to place zero or more nonadjacent 1,1 2,1 3,1 4,1 5,0 5,1 6,2 polyhexes in any orientation on a planar nXnXn triangular grid.at n=7A155332
- Expansion of 1/(1 - x - x^9 - x^17 + x^18).at n=54A175772
- Partial sums of A018805.at n=41A177853
- Sums of knight's moves over the square |i|+|j|<=n on infinite chessboard.at n=30A183053
- Number of n X 4 0..1 arrays avoiding 0 0 0 and 1 0 1 horizontally and 0 0 1 and 1 1 1 vertically.at n=8A207678
- 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 three, four, five, six or eight distinct values for every i,j,k<=n.at n=7A211592
- Number of n X n 0..3 arrays with rows unimodal and antidiagonals nondecreasing.at n=2A224198
- Number of nX3 0..3 arrays with rows unimodal and antidiagonals nondecreasing.at n=2A224199
- T(n,k)=Number of nXk 0..3 arrays with rows unimodal and antidiagonals nondecreasing.at n=12A224204
- Number of 3Xn 0..3 arrays with rows unimodal and antidiagonals nondecreasing.at n=2A224205
- Number of length n+3 0..5 arrays with no four elements in a row with pattern abba (possibly a=b) and new values 0..5 introduced in 0..5 order.at n=5A243030
- T(n,k)=Number of length n+3 0..k arrays with no four elements in a row with pattern abba (possibly a=b) and new values 0..k introduced in 0..k order.at n=50A243033
- Numbers m such that m+1, m+3, m+7, m+9 and m+13 are all primes.at n=4A245304
- Number of (n+2) X (2+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00000001 00000011 or 00010001.at n=8A260538