5910
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
- 14256
- Proper Divisor Sum (Aliquot Sum)
- 8346
- 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
- 1568
- Möbius Function
- 1
- Radical
- 5910
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 142
- 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
- Number of partitions of floor(5n/2) into n nonnegative integers each no more than 5.at n=30A001975
- High temperature series for spin-1/2 Ising surface susceptibility on square lattice.at n=6A003493
- Expansion of x*(1+x-x^2)/((1-x)^4*(1+x)).at n=39A005744
- Convolution of Fibonacci numbers and A000201.at n=14A023611
- Katadromes: digits in base 6 are in strict descending order.at n=56A023788
- Expansion of 1/((1-4x)(1-5x)(1-7x)(1-10x)).at n=3A028117
- Numbers whose set of base-14 digits is {2,3}.at n=14A032814
- Numbers whose set of base-14 digits is {1,2}.at n=29A032934
- Numerators of continued fraction convergents to sqrt(882).at n=5A042704
- Positive integers having more base-14 runs of even length than odd.at n=29A044840
- a(n) in base 14 is a repdigit.at n=41A048338
- Number of level partitions of n.at n=54A053197
- Triangular array generated by its row sums: T(n,0)=1 for n >= 1, T(n,1)=r(n-1), T(n,k)=T(n,k-1)+r(n-k) for k=2,3,...,n, n >= 2, r(h)=sum of the numbers in row h of T.at n=33A054115
- T(n,n-2), array T as in A054115.at n=5A054117
- Numbers k such that the k-th term of the EKG sequence (A064413(k)) has more than one controlling prime.at n=24A073735
- 33-gonal numbers: n(31n-29)/2.at n=20A098923
- Shifts left and divides by 2 under the XOR BINOMIAL transform (A099902).at n=12A099901
- Positions where values change in A100144.at n=40A100250
- Triangle read by rows: T(n,k) is the number of deco polyominoes of height n with k cells in the first column. (A deco polyomino is a directed column-convex polyomino in which the height, measured along the diagonal, is attained only in the last column).at n=32A100822
- Number of partitions of n into parts not congruent to 0, 2, 12, 14, 16, 18, 20, 30 (mod 32).at n=38A115671