10386
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 22542
- Proper Divisor Sum (Aliquot Sum)
- 12156
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3456
- Möbius Function
- 0
- Radical
- 3462
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 86
- 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) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=27A014203
- a(n) = Sum_{i,j,k in Z and i^2 + j^2 + k^2 <= n} i^2 + j^2 + k^2.at n=28A014203
- Numbers having four 2's in base 8.at n=26A043432
- First differences are A005563.at n=30A047732
- Least positive number having exactly n partitions into three squares.at n=43A095809
- Least integer that can be written as a sum of 3 squares in n nontrivial ways (ignoring order and signs).at n=44A122699
- Smallest positive integer which can be expressed as the ordered sum of 3 squares in exactly n different ways.at n=44A124970
- Sequence of k such that starting with P(0)=31 then k(n)*P(n-1)*(k(n)*P(n-1)-1)-1 is the least prime = P(n).at n=9A141240
- Coefficient of x^(4^n) in Q(x)^(n+1) where Q(x) = Sum_{k>=0} (x^(4^k) + x^(2*4^k) + x^(3*4^k)).at n=5A145074
- Number of binary strings of length n with equal numbers of 010 and 101 substrings.at n=15A164146
- Numbers n with property that average digit of n^2 is s=6.at n=44A164778
- Number of strictly increasing arrangements of 4 nonzero numbers in -(n+2)..(n+2) with sum zero.at n=35A188123
- The hyper-Wiener index of the cyclic phenylene with n hexagons (n>=3).at n=3A224457
- Number of partitions of n with difference 7 between the number of odd parts and the number of even parts, both counted without multiplicity.at n=35A242698
- Numbers k such that 7*R_k - 40 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=5A256828
- Number of (n+2) X (1+2) 0..1 arrays with each 3 X 3 subblock having clockwise perimeter pattern 00010101 or 01010101.at n=14A259735
- a(n) = 27*n^2 - 21*n + 6 (n>=1).at n=19A304164
- Square array A(n,k), n >= 1, k >= 0, where A(n,k) = Sum_{d|n} d^(k*n/d - k + 1), read by antidiagonals.at n=71A308690
- Number of subsets of {1..n} with elements disjoint from first differences of elements.at n=16A364463
- a(n) is the least integer m such that the sum of the digits of m^2 is k+n where k is the number of digits of n.at n=49A369956