10014
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 6
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 20040
- Proper Divisor Sum (Aliquot Sum)
- 10026
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 3336
- Möbius Function
- -1
- Radical
- 10014
- 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
- no
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 65
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 80.at n=33A020419
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 66.at n=34A031564
- Number of partitions satisfying cn(1,5) + cn(4,5) <= cn(2,5) and cn(1,5) + cn(4,5) <= cn(3,5).at n=44A039876
- Number of n-digit terms of A070153.at n=53A071297
- Numbers which retain their position in A073666 (position not disturbed by the rearrangement).at n=40A073667
- Index of first occurrence of n in A091853, or 0 if no such number exists.at n=30A091854
- Admirable Harshad numbers such that the subtracted divisor is also a Harshad number.at n=18A109396
- Admirable Harshad numbers.at n=41A111947
- Admirable Harshad numbers n such that the subtracted divisor is equal to the digital sum of n.at n=9A111948
- Triangle read by rows: numbers of isomers of unbranched a-4-catapolyoctagons.at n=39A120649
- Numbers k such that for any single digit d of k the d-th semiprime sp(k) is substring of k.at n=16A135441
- Partial sums of Sum_{k=1..n} n/gcd(n,k), or partial sums of Sum_{d|n} d*phi(d) (see A057660).at n=33A174405
- G.f.: [Sum_{n>=0} x^(n^2) * (1+x+x^2)^n ]^2.at n=51A182153
- Number of compositions of n such that the number of parts and the largest part and the smallest part are pairwise coprime.at n=14A199890
- 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 four, five or six distinct values for every i,j,k<=n.at n=5A211731
- Smallest number with n nonprime substrings (Version 2: substrings with leading zeros are counted as nonprime if the corresponding number is > 0).at n=12A213303
- Smallest number with n nonprime substrings (Version 3: substrings with leading zeros are counted as nonprime if the corresponding number is not a prime).at n=12A213304
- Number of (n+1)X(n+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237966
- Number of (n+1)X(2+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=1A237968
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with the upper median of every 2X2 subblock differing from its horizontal and vertical neighbors by exactly one.at n=4A237974