9124
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
- 3
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 15974
- Proper Divisor Sum (Aliquot Sum)
- 6850
- 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
- 4560
- Möbius Function
- 0
- Radical
- 4562
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 153
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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 period of the continued fraction for sqrt(k) contains exactly 60 ones.at n=17A031828
- Whitney number of level n of the lattice of the ideals of the fence of order 2 n + 1.at n=11A051291
- Growth series for Heisenberg group.at n=18A063810
- Largest Whitney number of Fibonacci lattices J(Z_n).at n=23A077419
- a(n) = floor(n*(n^3-n-3)/(2*(n-1))).at n=24A117561
- Number of walks within N^3 (the first octant of Z^3) starting at (0,0,0) and consisting of n steps taken from {(-1, -1, 0), (-1, 0, 0), (0, 1, 1), (1, -1, 0), (1, 1, -1)}.at n=8A149043
- Number of different fixed (possibly) disconnected trominoes bounded tightly by an n X n square.at n=39A163433
- a(n) = n*n in the arithmetic where when digits are to be added they are multiplied, and when they are to be multiplied they are added.at n=47A169921
- Start with 3. If a, b in sequence, so is ab+1.at n=36A180432
- The number of unlabeled graphs on n nodes with degree of 1 or 2.at n=28A186417
- G.f.: (1+x^4)/(1-x-x^8).at n=46A193942
- Number of (n+1) X (1+1) 0..3 arrays with every 2 X 2 subblock summing to 5 6 or 7.at n=2A251374
- Number of (n+1)X(3+1) 0..3 arrays with every 2X2 subblock summing to 5 6 or 7.at n=0A251376
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 5 6 or 7.at n=3A251381
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to 5 6 or 7.at n=5A251381
- Irregular array by rows: A(n,m) is the least number which gives a pandigital product when multiplied by the m-th repunit in base n; each row is truncated when it reaches its stationary point.at n=26A277055
- Least k such that any sufficiently long repunit multiplied by k is a pandigital number in numerical base n.at n=7A277056
- Numbers n such that there are precisely 5 groups of orders n and n + 1.at n=28A295991
- a(n) = 2*(a(n-1) + a(n-3)) - a(n-4), with a(0) = 1, a(1) = 2, a(2) = 5 and a(3) = 12.at n=11A319172
- Row sums of A309038.at n=10A328685