4482
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 5598
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1476
- Möbius Function
- 0
- Radical
- 498
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 46
- 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
- Coordination sequence for 9-dimensional cubic lattice.at n=4A008418
- Expansion of g.f. 1/((1 - x)*(1 - 2*x)*(1 - 8*x)*(1 - 11*x)).at n=3A021274
- Fibonacci sequence beginning 2, 18.at n=13A022371
- Cube root of A030690.at n=29A030691
- 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=11A031564
- Number of points of L1 norm 4 in cubic lattice Z^n.at n=9A035598
- Coordination sequence for C_9 lattice.at n=2A035746
- A convolution triangle of numbers obtained from A025748.at n=23A048966
- Numbers k such that k^512 + 1 is prime.at n=12A057465
- Geometric mean of the digits = 4. In other words, the product of the digits is = 4^k where k is the number of digits.at n=28A061428
- Multiples of 9 having only even digits.at n=34A061831
- Number of nodes in virtual, "optimal", chordal graphs of diameter 4 and degree n+1.at n=15A067956
- Distinct multiples of 3 such that the concatenation of a(n), a(n-1), ..., a(2), a(1), 1 is a prime and a(n) > a(n-1).at n=47A089757
- Least multiple k of prime(n) such that (k-1,k+1) forms a twin prime pair, or 0 if no such number exists.at n=22A090530
- Square array A(n,k) read by antidiagonals: row n gives coordination sequence for lattice C_n.at n=47A103884
- Numbers that have exactly five prime factors counted with multiplicity (A014614) whose digit reversal is different and also has 5 prime factors (with multiplicity).at n=33A109025
- Triangle read by rows: T(n,k) (0 <= k <= n) is the number of Delannoy paths of length n that start with exactly k (0,1) steps (or, equivalently, with exactly k (1,0) steps).at n=50A110171
- Expansion of eta(q^3) * eta(q^33) / ( eta(q)* eta(q^11)) in powers of q.at n=37A128663
- Number of partitions of n such that every part divides the largest part; a(0) = 1.at n=48A130689
- Numbers k such that k and k^2 use only the digits 0, 2, 3, 4 and 8.at n=17A136885