5442
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
- 10896
- Proper Divisor Sum (Aliquot Sum)
- 5454
- 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
- 1812
- Möbius Function
- -1
- Radical
- 5442
- 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
- 67
- 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
- Coordination sequence T2 for Zeolite Code MTT.at n=45A008190
- Cycle class sequence c(2n) (the number of true cycles of length 2n in which a certain node is included) for zeolite ZON = ZAPO-M1 R8[Zn8Al24P32O128] starting at a T1 atom.at n=5A019065
- a(n) = T(2*n, n+1), T given by A027011.at n=6A027012
- T(n,n+3), T given by A027960.at n=11A027963
- a(n) = floor(exp(1/13)*n!).at n=6A030933
- 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 72.at n=20A031570
- Number of partitions of 5n such that cn(0,5) <= cn(1,5) = cn(4,5) < cn(2,5) = cn(3,5).at n=10A036883
- Numbers whose base-5 representation contains exactly two 2's and three 3's.at n=18A045273
- Squarefree numbers sandwiched between a pair of twin primes.at n=39A070195
- Interprimes which are of the form s*prime, s=6.at n=42A075281
- a(n) = prime(n)^2 - prime(n^2). Commutator of (primes, squares) at n.at n=27A123914
- Admirable numbers in the middle of twin primes.at n=23A135502
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 00100-00100-11111 pattern in any orientation.at n=15A147001
- Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) - m*k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 4, read by rows.at n=18A157155
- Triangle T(n, k, m) = (m*(n-k) + 1)*T(n-1, k-1, m) + (m*k + 1)*T(n-1, k, m) - m*k*(n-k)*T(n-2, k-1, m) with T(n, 0, m) = T(n, n, m) = 1 and m = 4, read by rows.at n=17A157155
- Averages of twin prime pairs which are a sum of averages of two consecutive twin prime pairs.at n=17A160916
- Number of binary strings of length n with no substrings equal to 0000 0010 or 0101.at n=11A164418
- Numbers that are divisible by exactly 3 primes (counted with multiplicity) and sandwiched between primes.at n=22A171179
- Parameters n for which the Tate-Shafarevich group Ш of the elliptic curve y^2=x^3-n has order 16.at n=19A179140
- Numbers n such that n!8-1 is prime.at n=47A204662