9916
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 18088
- Proper Divisor Sum (Aliquot Sum)
- 8172
- 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
- 4752
- Möbius Function
- 0
- Radical
- 4958
- Omega Function (Ω)
- 4
- 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
- 47
- 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 207*2^k + 1 is prime.at n=40A032480
- Number of partitions of n into parts not of forms 4*k+2, 20*k, 10*k+5.at n=51A036026
- Numbers k such that 2^k - 17 is prime.at n=32A059611
- Number of partitions of n into odious numbers (A000069).at n=53A067590
- Treated as strings, n begins with Floor(sqrt(n)).at n=39A069086
- Diagonal of triangular spiral in A051682.at n=46A081270
- Number of primes < prime(n)^3.at n=14A086688
- Numbers k such that the numerator of Bernoulli(2k) is divisible by the square of 37, the first irregular prime.at n=36A092230
- Expansion of q^(-3/4) * eta(q^2)^2 * eta(q^20) / (eta(q)^2 * eta(q^4)) in powers of q.at n=25A146163
- Number of 1-dimensional sandpiles with n grains.at n=21A186085
- Number of partitions of n into terms of (1,3)-Ulam sequence, cf. A002859.at n=51A199118
- L.g.f.: -log(1 - Sum_{n>=1} x^(n*(n+1)/2)) = Sum_{n>=1} a(n)*x^n/n.at n=20A224678
- Number of weak inversions in all standard Young tableaux of size n.at n=7A225618
- The number of 1-length gaps in all possible covers of n-length line by 2-length segments.at n=28A228577
- Numbers n such that the smallest prime divisor of n^2+1 is 97.at n=34A248552
- a(n) is the total number of pentagrams in a variant of pentagram fractal after n iterations.at n=11A256571
- Number of 3-ascent sequences of length n with no consecutive repeated letters.at n=7A263853
- Number A(n,k) of k-ascent sequences of length n with no consecutive repeated letters; square array A(n,k), n>=0, k>=0, read by antidiagonals.at n=62A264909
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 793", based on the 5-celled von Neumann neighborhood.at n=21A273566
- Number of nX3 0..1 arrays with every element equal to 0, 1, 2, 4, 5 or 6 horizontally, diagonally or antidiagonally adjacent elements, with upper left element zero.at n=5A303508