5955
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9552
- Proper Divisor Sum (Aliquot Sum)
- 3597
- 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
- 3168
- Möbius Function
- -1
- Radical
- 5955
- 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
- 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
- no
- Odd
- yes
Appears in sequences
- Divisors of 2^44 - 1.at n=20A003549
- Every run of digits of n in base 14 has length 2.at n=30A033012
- Numbers having three 5's in base 10.at n=31A043511
- Positive integers having more base-14 runs of even length than odd.at n=32A044840
- Numbers n such that n divides the (right) concatenation of all numbers <= n written in base 22 (most significant digit on right).at n=27A061951
- Triangle with T(n,k) = k*E(n,k) where E(n,k) are Eulerian numbers A008292.at n=25A065826
- Row sums in A100781.at n=14A100784
- Numbers k such that 4*k-1, 8*k-1 and 16*k-1 are all primes.at n=36A101790
- Self-convolution omits 1's at positions of triangular numbers less one.at n=24A105613
- Self-convolution of A105613.at n=18A105614
- Numbers k such that 2*k-1, 4*k-1, 6*k-1 and 8*k-1 are primes.at n=6A124487
- Numbers k for which 2*k-1, 4*k-1, 8*k-1 and 16*k-1 are primes.at n=12A124494
- Rectangular table, read by antidiagonals, such that the g.f. of row n, R_n(y), satisfies: R_n(y) = [ Sum_{k>=0} y^k * R_{n*k}(y) ]^n for n>=0, with R_0(y)=1.at n=41A124550
- Row 3 of table A124550; also equals the self-convolution cube of A124563, which is row 3 of table A124560.at n=5A124553
- Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock commuting with each of its horizontal and vertical 2 X 2 subblock neighbors.at n=5A186474
- Number of (n+1)X7 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=0A186479
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=15A186482
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=20A186482
- T(n,m)=Number of (n+1)X2 0..m arrays with every 2X2 subblock commuting with each of its vertical 2X2 subblock neighbors.at n=33A187363
- Number of compositions of n that avoid the pattern 23-1.at n=14A189076