5406
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
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 11664
- Proper Divisor Sum (Aliquot Sum)
- 6258
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1664
- Möbius Function
- 1
- Radical
- 5406
- Omega Function (Ω)
- 4
- Little Omega Function (ω)
- 4
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
- 160
- 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
- Centered pentagonal numbers: (5n^2+5n+2)/2; crystal ball sequence for 3.3.3.4.4. planar net.at n=46A005891
- Coordination sequence T5 for Zeolite Code MEL.at n=47A008154
- a(n) = floor( n*(n-1)*(n-2)/26 ).at n=53A011908
- Expansion of 1/((1-6x)(1-7x)(1-11x)).at n=3A020573
- Numbers k such that Fibonacci(k) == 8 (mod k).at n=42A023177
- a(n) = sum of the numbers between the two n's in A026358.at n=37A026361
- Number of partitions of n with equal nonzero number of parts congruent to each of 0 and 2 (mod 3).at n=41A035538
- Number of partitions satisfying cn(2,5) < cn(1,5) + cn(4,5) and cn(3,5) < cn(1,5) + cn(4,5).at n=31A039889
- (Terms in A029631)/2.at n=48A051458
- Numbers k such that 2*5^k + 3 is prime.at n=16A057914
- Surround numbers of an n X 1 rectangle.at n=7A060633
- Numbers k such that usigma(k) is a square and sets a new record for such squares.at n=14A064443
- Digits of sigma(n) end in phi(n).at n=10A067249
- Treated as strings, phi(n) is a substring of sigma(n).at n=19A074452
- a(n) = 10*n^2 + 5*n + 1.at n=23A080860
- Least common multiple of prime(n+1)-1 and prime(n)-1.at n=26A083554
- Number of points of self-intersection of the path of a billiard ball traveling at a 45-degree angle on a prime(n) X prime(n+1) billiard table. Also equal to 1/2 the number of the lattice points lying within a prime(n) X prime(n+1) rectangle.at n=26A099407
- Number of different volumes assumed by triangular pyramids with their 4 vertices chosen from distinct points of an (n+1)X(n+1)X(n+1) lattice cube, including degenerate objects with volume=0.at n=14A103657
- Partial sums of A107947.at n=37A107957
- n*(1+3*n+6*n^2)/2.at n=12A115519