4708
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 9072
- Proper Divisor Sum (Aliquot Sum)
- 4364
- 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
- 2120
- Möbius Function
- 0
- Radical
- 2354
- 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
- yes
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 33
- 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
- Numbers k such that the continued fraction for sqrt(k) has period 44.at n=38A020383
- Numbers whose set of base-8 digits is {1,4}.at n=33A032820
- Numbers whose set of base-6 digits is {3,4}.at n=37A032830
- Cycle lengths of the permutation that converts the forest of depth-first planar planted binary trees into breadth-first representation.at n=34A038774
- a(n) = Sum_{k=1..n, m=1..k} T(m,k); array T as in A049828.at n=37A049830
- Coefficients of the '3rd-order' mock theta function omega(q).at n=41A053253
- Maximum cycle length in each permutation between A038776(1) and A038776(A000108(n)).at n=10A057542
- Numbers k such that 3*5^k + 2 is prime.at n=20A057916
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 69 ).at n=36A063342
- Total number of distinct cycles in a particular cellular automata of size n.at n=15A083843
- Number of primes between A092800(n) and 10^n.at n=4A092850
- Table, read by antidiagonals, of iterated binomial transforms of A095148, which also forms the antidiagonal sums shift right.at n=50A095788
- Number of plasma partitions of 2n-1.at n=43A095913
- Number of squares on infinite half chessboard at <=n knight moves from a fixed point on the edge.at n=26A098498
- Start with 1 and repeatedly reverse the digits and add 63 to get the next term.at n=11A118158
- Start with 1 and repeatedly reverse the digits and add 63 to get the next term.at n=41A118158
- a(n) = 107*n.at n=44A134297
- Number of (directed) Hamiltonian paths in the n-ladder graph.at n=48A137882
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, 0, 0), (0, 1, 1), (1, -1, 0), (1, -1, 1), (1, 1, -1)}.at n=7A149492
- 4 times heptagonal numbers: a(n) = 2*n*(5*n-3).at n=22A153784