16955
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 20352
- Proper Divisor Sum (Aliquot Sum)
- 3397
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 13560
- Möbius Function
- 1
- Radical
- 16955
- Omega Function (Ω)
- 2
- 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
- 84
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- Number of unlabeled, connected graphs on n vertices that have no induced subgraph isomorphic to a bull, a P5 or a P5-bar.at n=9A079577
- a(n) = Sum_{k=0..n-1} 7^k*B(k)*binomial(n,k) where B(k) is the k-th Bernoulli number.at n=7A083011
- Number of A095316-primes in range [2^n,2^(n+1)].at n=17A095326
- Number of A095320-primes in range ]2^n,2^(n+1)].at n=17A095330
- Number of n X n binary arrays symmetric under 90 degree rotation with all ones connected only in a 1000-1110-0111-0001 pattern in any orientation.at n=16A147403
- Numerator of Bernoulli(n, 1/7).at n=7A158334
- Partial sums of A001605.at n=23A172115
- Number of (n+1) X 2 0..3 arrays with every 2 X 2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order.at n=4A205433
- Number of (n+1)X6 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order.at n=0A205437
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order.at n=10A205440
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges, and new values 0..3 introduced in row major order.at n=14A205440
- Number of (n+1)X6 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=0A205606
- T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock having the same number of equal edges as its horizontal neighbors and a different number from its vertical neighbors, and new values 0..3 introduced in row major order.at n=10A205609
- Partial sums of A008534, or crystal ball sequence for {A_6}* lattice.at n=6A222410
- Number of blocks of size >= n in all set partitions of [2n].at n=5A286896
- Expansion of 1 / ((1-x)^2*(1-x^2)*(1-x^3)*...*(1-x^10)).at n=29A288345
- Number of blocks of size >= five in all set partitions of n.at n=5A288787
- Number of integer partitions y of n whose rank Sum_i 2^(y_i-1) is prime.at n=48A372688