4696
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8820
- Proper Divisor Sum (Aliquot Sum)
- 4124
- 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
- 2344
- Möbius Function
- 0
- Radical
- 1174
- Omega Function (Ω)
- 4
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 121
- 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
- Expansion of 1/((1-3*x)*(1-7*x)*(1-12*x)).at n=3A018055
- Numbers k such that the continued fraction for sqrt(k) has period 46.at n=36A020385
- Numbers k such that Fib(k) == -21 (mod k).at n=38A023168
- 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 17.at n=30A031515
- Incorrect version of A107357.at n=38A037181
- Sequence arising in search for Legendre sequences.at n=14A039792
- Sum of remainders when n-th prime is divided by all preceding integers.at n=37A050482
- Number of bracketings of 0#0#0#...#0 giving result 0, where 0#0 = 0#1 = 1#0 = 1, 1#1 = 0.at n=10A055395
- Geometric mean of the digits = 6. In other words, the product of the digits is = 6^k where k is the number of digits.at n=28A061429
- Nearest integer to (Product(n^((1 + log(i))/i^2), {i, 1, n})).at n=33A062483
- Number of polyiamonds with n cells that tile the plane by 180-degree rotation (Conway criterion).at n=13A075220
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the diagonal.at n=26A098499
- 4-almost primes with semiprime digits (digits 4, 6, 9 only).at n=10A111496
- Triangle read by rows of numbers b_{n,k}, n >= 2, 1 <= k < n such that (1/(1-q*t))*Product_{n,k} 1/(1 - q^n*t^k)^b_{n,k} = Sum_{i,j>=1} S_{i,j} q^i*t^j where S_{i,j} are entries in the table A008277 (the inverse Euler transformation of the table of Stirling numbers of the second kind).at n=32A112339
- Triangle read by rows of numbers b_{n,k}, n>=1, 1<=k<=n such that Product_{n,k} 1/(1-q^n t^k)^{b_{n,k}} = 1 + Sum_{i,j>=1} S_{i,j} q^i t^j where S_{i,j} are entries in the table A008277 (the inverse Euler transformation of the table of Stirling numbers of the second kind).at n=40A112340
- Self-convolution 8th power of A113674, where a(n) = A113674(n+1)/(n+1).at n=3A113668
- Sum of the first n n-digit primes less n*10^(n-1).at n=17A114053
- Number of permutations of length n which avoid the patterns 2134, 3421, 4123.at n=9A116759
- Numbers n whose reverse binary representation has the following property: let a 0 mean "halving" and a 1 mean "k -> 3k+1". The number describes an operation k -> f_n(k). If the equation f_n(k) = k has an integer solution, n is a term in the sequence.at n=33A125754
- Numbers n whose reverse binary representation has the following property: let a 0 mean "halving" and a 1 mean "k -> 3k+1". The number describes an operation k -> f_n(k). If the equation f_n(k) = k has a positive integer solution, n is a term in the sequence.at n=19A125756