10484
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 18354
- Proper Divisor Sum (Aliquot Sum)
- 7870
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5240
- Möbius Function
- 0
- Radical
- 5242
- Omega Function (Ω)
- 3
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 148
- 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
- Base 6 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,0,3.at n=5A037690
- Triangle of numbers a(n,k) = number of Young tableaux with n cells and k rows (1 <= k <= n); also number of self-inverse permutations on n letters in which the length of the longest scattered (i.e., not necessarily contiguous) increasing subsequence is k.at n=59A047884
- a(1)=1; a(n) = a(n-1) + [sum of all decimal digits present so far in the sequence].at n=42A072921
- Total number of left truncatable primes (without zeros) in base n.at n=23A076623
- Convolution of the prime numbers with phi(n).at n=30A086734
- Number of regions formed inside square by diagonals and the segments joining the vertices to the points dividing the sides into n equal length segments.at n=24A108914
- The number of primes between n and n^3 (with n and n^3 excluded).at n=47A117491
- The minimum excess in the prime race of odious primes versus evil primes in the interval (2^(n-1),2^n).at n=18A127977
- Inverse binomial transform of A000957.at n=15A138461
- Hodge structure on relative homology of some varieties related to cluster algebras of type A.at n=40A196019
- Vinogradov's constants arising in enumeration of solutions to Waring's problem in the evil numbers (A001969).at n=22A206375
- Number of -3..3 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 or five distinct values for every i,j,k<=n.at n=9A211723
- Number of self-inverse permutations in S_n with longest increasing subsequence of length 5.at n=6A217325
- Number T(n,k) of standard Young tableaux for partitions of n into exactly k distinct parts; triangle T(n,k), n>=0, 0<=k<=A003056(n), read by rows.at n=43A219311
- Number of standard Young tableaux for partitions of n into exactly 3 distinct parts.at n=6A219316
- Number of Sidon subsets of {1,...,n} of size 4.at n=25A241688
- Number of length n 0..3 arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean.at n=6A244898
- T(n,k)=Number of length n 0..k arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean.at n=42A244903
- Number of length 7 0..n arrays with each partial sum starting from the beginning no more than sqrt(2) standard deviations from its mean.at n=2A244910
- Number of (n+2)X(n+2) 0..1 arrays with every 3X3 subblock diagonal sum minus antidiagonal median nondecreasing horizontally, vertically and ne-to-sw antidiagonally.at n=1A254797