10518
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 21048
- Proper Divisor Sum (Aliquot Sum)
- 10530
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3504
- Möbius Function
- -1
- Radical
- 10518
- 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
- 104
- 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
- yes
- Odd
- no
Appears in sequences
- a(n) = 1 + Sum_{i=1..n} (n-i+1)*phi(i).at n=46A005598
- Expansion of (1+x)/(1-x-4*x^2).at n=10A026597
- Numbers whose base-7 representation contains exactly four 4's.at n=6A043412
- Numbers which are the sum of their proper divisors containing the digit 5.at n=11A059464
- Number of positions that are exactly n moves from the starting position in the Rashkey Type 1 puzzle.at n=11A079844
- Square array, read by antidiagonals, where column (k+1) equals the self-convolution of row k, with row 0 and column 0 consisting of all 1's.at n=62A093541
- a(n+1) is the integer part of sqrt(2*a(n)^2).at n=25A102822
- Least positive k such that (10^n+1)^n + k is prime.at n=48A121521
- a(n) = 4*a(n-2) - a(n-1), with a(0)=1, a(1)=-2.at n=10A122112
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n having k peaks in their peak plateaux (0<=k<=n-1). A peak plateau is a run of consecutive peaks that is preceded by an upstep and followed by a down step; a peak consists of an upstep followed by a downstep.at n=60A143953
- Triangle of numerators of coefficients of the polynomial Q^(2)_m(n) defined by the recursion Q^(2)_0(n)=1; for m>=1, Q^(2)_m(n) = Sum_{i=1..n} i^2*Q^(2)_(m-1)(i). For m>=0, the denominator for all 3*m+1 terms of the m-th row is A202367(m+1).at n=14A175669
- Number of (w,x,y) with all terms in {0,...,n} and the numbers w,x,y,|w-x|,|x-y| not distinct.at n=33A213491
- Number of nX3 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4.at n=9A241430
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 566", based on the 5-celled von Neumann neighborhood.at n=29A272989
- Convolution of A048272 and A022567.at n=24A274355
- Numbers k such that (13*10^k + 191)/3 is prime.at n=18A290956
- Coordination sequence for "crs" 3D uniform tiling formed from tetrahedra and truncated tetrahedra.at n=44A299268