8114
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 14
- Digital Root
- 5
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 12174
- Proper Divisor Sum (Aliquot Sum)
- 4060
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4056
- Möbius Function
- 1
- Radical
- 8114
- Omega Function (Ω)
- 2
- 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
- 114
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of points on surface of hexagonal prism: 12*n^2 + 2 for n > 0 (coordination sequence for W(2)).at n=26A005914
- a(n) = 2^n - n*(n-1)/2.at n=13A014844
- [ exp(10/21)*n! ].at n=6A030846
- 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 90.at n=1A031588
- Numbers whose base-5 representation contains exactly three 2's and three 4's.at n=2A045292
- Coefficients in expansion of Sum_{n >= 1} x^n/(1-x^n)^4.at n=34A059358
- Leading diagonal of triangle in A080521.at n=12A080522
- Semiprimes in A103377.at n=14A103397
- Number of points in the standard root system version of the D_3 (or f.c.c.) lattice having L_infinity norm n.at n=26A110907
- Ramanujan numbers (A000594) read mod 8192.at n=16A126823
- Ramanujan numbers (A000594) read mod 16384.at n=16A126824
- Partial sums of [A052938(n)^2].at n=42A162899
- First terms "a" of quadruples a>b>c>d>0 with six square pairwise sums.at n=16A175534
- Self-convolution of A180711.at n=29A180712
- Some numbers of the form 2*x^3 + y^3 + z^3 found by a certain algorithm.at n=20A195006
- Number of (n+2)X4 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=4A204477
- Number of (n+2)X7 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=1A204480
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=16A204483
- T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock having three equal elements in a row horizontally, vertically or nw-to-se diagonally exactly three ways, and new values 0..3 introduced in row major order.at n=19A204483
- Number of partitions of n that have integer contraharmonic mean.at n=49A240090