5542
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 8856
- Proper Divisor Sum (Aliquot Sum)
- 3314
- 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
- 2592
- Möbius Function
- -1
- Radical
- 5542
- 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
- yes
- 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
- 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 74.at n=7A031572
- Numerators of continued fraction convergents to sqrt(339).at n=5A041640
- Numbers whose base-4 representation contains exactly four 1's and three 2's.at n=2A045108
- Closed 3-dimensional ball numbers (version 2): a(n)= number of integer points (i,j,k) contained in a closed ball of diameter n, centered at (1/2,0,0).at n=22A053593
- Open 3-dimensional ball numbers (version 2): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,0,0).at n=22A053594
- Number of pentagonal regions in regular n-gon with all diagonals drawn.at n=29A067152
- Number of anisohedral polyominoes with n cells.at n=18A075206
- Numbers n such that n*(n+1)/2 is the juxtaposition of two identical strings in binary representation.at n=28A092739
- Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) - 63 for n > 0.at n=15A102007
- Numbers n such that 4*10^n + 2*R_n + 1 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=13A102985
- Diagonal sums of number triangle A110180.at n=11A110182
- Sum of the sizes of the tails below the Durfee squares of all partitions of n.at n=20A116365
- Ceiling(Pi*n^2).at n=42A135039
- Ceiling(4*Pi*n^2).at n=20A135971
- a(n) = 81*n^2 - 118*n + 43.at n=9A156677
- Indices of 4's in A090822.at n=24A157107
- a(n) = (2*n^3 + 5*n^2 - 11*n)/2.at n=16A162257
- a(0)=2, a(1)=3, a(n) = 3 + a(n-1) + a(n-2) for n >= 2.at n=15A171237
- Numbers that are the product of 3 distinct primes a,b and c, such that a^2+b^2+c^2 is the average of a twin prime pair.at n=31A176879
- G.f.: Sum_{n>=0} x^n / Product_{d|n} (1-d*x).at n=9A205544