5584
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 10
- Divisor Sum
- 10850
- Proper Divisor Sum (Aliquot Sum)
- 5266
- 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
- 2784
- Möbius Function
- 0
- Radical
- 698
- Omega Function (Ω)
- 5
- 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
- 36
- 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
- Number of partitions of 2*n into at most 4 parts.at n=44A014126
- Discriminants of quintic fields with 4 complex conjugates.at n=30A023685
- Numbers k whose decimal representation, read as a base-22 value and divided by k, yields an integer.at n=17A032575
- Real parts of multiperfect Gaussian numbers z, sorted with respect to |z| and Re(z).at n=29A100884
- Numbers n such that for some positive number k, z=n+ik is a complex multiperfect number; that is, z divides sigma(z), where sigma is the sum of divisors function extended to the complex numbers.at n=29A102506
- Expansion of q^(-3/4) * eta(q)^2 * eta(q^2)^4 * eta(q^8)^4 / eta(q^4)^6 in powers of q.at n=31A135467
- List of different composites in Pascal-like triangles with index of asymmetry y = 3 and index of obliqueness z = 0 or z = 1.at n=25A141069
- a(n) = ((4 + sqrt 6)^n + (4 - sqrt 6)^n)/2.at n=5A143648
- 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, -1, 0), (-1, 0, 1), (0, 1, -1), (1, 0, 0), (1, 1, -1)}.at n=9A148330
- Numbers n such that phi(n) divides Sum_{k=1..n} phi(k).at n=41A194855
- Number of nXnXn 0..6 triangular arrays with each element x equal to the number its neighbors equal to 0,0,0,1,1,1,1 for x=0,1,2,3,4,5,6.at n=5A198051
- Number of n X 1 0..3 arrays with rows and columns lexicographically nondecreasing and every element equal to at least one horizontal or vertical neighbor.at n=33A201618
- a(n) = floor(n!^2 / n^n).at n=10A215460
- T(n,k)=Number of idempotent n X n 0..k matrices.at n=18A222821
- Number of idempotent 4X4 0..n matrices.at n=2A222823
- Number of ordered triples (i,j,k) with i*j*k <= n and i,j,k >= 0.at n=41A226600
- Number of partitions of 4n into 4 parts.at n=22A238340
- Number of tilings of a 5 X n rectangle using n pentominoes of distinct shapes.at n=7A246902
- Number of n-bit legal binary words with maximal set of 1s.at n=26A253412
- G.f. = b(2)*b(4)*b(6)/(x^8+x^6-x^5-x^3-x+1), where b(k) = (1-x^k)/(1-x).at n=17A266333