5622
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11256
- Proper Divisor Sum (Aliquot Sum)
- 5634
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1872
- Möbius Function
- -1
- Radical
- 5622
- Omega Function (Ω)
- 3
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 59
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- 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
- yes
- Odd
- no
Appears in sequences
- Squares written in base 7.at n=44A002440
- Number of unlabeled identity unit interval graphs.at n=13A005219
- a(n) = floor( n*(n-1)*(n-2)/25 ).at n=53A011907
- Generalized Catalan Numbers x^4*A(x)^2 -(1-x+x^4+x^5)*A(x) +1 =0.at n=21A023428
- a(n) = s(1)*s(n) + s(2)*s(n-1) + ... + s(k)*s(n+1-k), where k = floor((n+1)/2), s = (natural numbers >= 3).at n=35A024312
- a(n) = s(1)s(n) + s(2)s(n-1) + ... + s(k)s(n-k+1), where k = floor( n/2 ), s = natural numbers >= 3.at n=34A024875
- 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 48.at n=35A031546
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 3 (mod 5).at n=41A035564
- Numbers n such that n | 12^n + 11^n + 10^n + 9^n + 8^n + 7^n + 6^n + 5^n + 4^n.at n=31A057285
- Engel expansion of Pi^e = 22.4592.at n=33A059197
- The concatenation of n with n-1 and n with n+1 both yield primes (twin primes).at n=43A068700
- a(n) = prime(n) + prime(n^2).at n=26A092504
- Lesser of twin admirable numbers: k such that k and k+2 are both admirable numbers.at n=24A109730
- Triangle T(n,k), read by rows, given by [0, 0, 1, 1, 2, 2, 3, 3, 4, 4, 5, 5, 6, 6, ...] DELTA [1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, ...] where DELTA is the operator defined in A084938.at n=51A111146
- Binomial transform of [1, 11, 11, 11, ...].at n=9A139635
- Expansion of (7-41*x+42*x^2)/((1-6*x)*(1-3*x)*(1-2*x)).at n=4A147546
- a(n) = 9*n^2 - 3.at n=24A157872
- Numbers n with property that 4 n^2 are squares arising in A158470.at n=19A158517
- Diagonal sums of A167749.at n=16A167751
- Number of partitions of n containing a clique of size 8.at n=37A183565