4555
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
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5472
- Proper Divisor Sum (Aliquot Sum)
- 917
- 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
- 3640
- Möbius Function
- 1
- Radical
- 4555
- 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
- 59
- 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
- no
- Odd
- yes
Appears in sequences
- Coordination sequence T1 for Zeolite Code CAS.at n=41A008063
- Expansion of tan(tan(x))*cosh(x) (odd powers only).at n=3A009696
- Expansion of tan(tan(x))*exp(x).at n=7A009697
- Sums of six consecutive squares: a(n) = n^2 + (n+1)^2 + (n+2)^2 + (n+3)^2 + (n+4)^2 + (n+5)^2.at n=25A027865
- Number of partitions of n into parts 3k and 3k+2 with at least one part of each type.at n=49A035619
- Numbers having three 5's in base 10.at n=4A043511
- a(n+1) = a(n) + n (if n is even), a(n+1) = a(n) * n (if n is odd).at n=10A047905
- Centered 18-gonal numbers.at n=22A069131
- Four-digit numbers that do not resolve to 6174 under the Kaprekar map (see A151949).at n=35A069746
- Interprimes which are of the form s*prime, s=5.at n=13A075280
- a(n) = 4*n^2 + 6*n + 1.at n=33A082108
- Records in A068189 (smallest number k such that n = product of nonzero digits of k, or 0 if no such k exists).at n=37A096867
- Triangle read by rows: T(n,k) is the number of peakless Motzkin paths of length n and height k (can be easily expressed using RNA secondary structure terminology).at n=53A098076
- Number of squares on infinite quarter chessboard at <=n knight moves from the corner.at n=36A098500
- a(n) = n*(n^3-n^2+n+1)/2.at n=10A100855
- Near-repdigit semiprimes with 5 as repeated digit.at n=15A105986
- Triangle read by rows: T(n,k) is the number of Dyck paths of semilength n and having k ascents of length 4 (0<=k<=floor(n/4)). Also number of ordered trees with n edges which have k vertices of outdegree 4.at n=19A114508
- Coefficients of cubic equations in the form w^2=4*x^3-g2*x-g3 Weierstrass elliptic form whose solutions approximate zeta zeros.at n=37A114984
- Numbers of the form k^2 - k - 1 whose digit sum is also a number of the form k^2 - k - 1.at n=26A117746
- Number of digits in the decimal expansion of the number of partitions of 2^n.at n=24A129490