16424
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 17
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 30810
- Proper Divisor Sum (Aliquot Sum)
- 14386
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8208
- Möbius Function
- 0
- Radical
- 4106
- Omega Function (Ω)
- 4
- 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
- 40
- 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
- Number of partitions of n that do not contain 1 as a part.at n=46A002865
- Expansion of Product_{m>=1} (1+x^m)^4.at n=15A022569
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 63.at n=36A031561
- Interprimes which are of the form s*prime, s=8.at n=25A075283
- Number of partitions of n including 3, but not 1.at n=48A085811
- Number of partitions of n into parts not less than the smallest prime factor of n.at n=45A097360
- Number of partitions of n with unique smallest part and unique largest part.at n=45A117298
- Numbers n with property that for each single digit d of n, we can also see the decimal expansion of 2^d as a substring of n. Also n may not contain any zero digits.at n=8A135016
- Bisection (even part) of number of partitions that do not contain 1 as a part A002865.at n=23A182746
- Sum of the first k-1 numbers in the k-th column of the natural number array A000027, by antidiagonals.at n=24A185788
- Number of partitions of n that do not contain parts less than the smallest part of the partitions of n-1.at n=45A187219
- Number of 3-step self-avoiding walks on an n X n square summed over all starting positions.at n=37A188148
- (A192533)/2.at n=28A192534
- The number of permutations of length n sortable by 2 block transpositions.at n=10A228392
- Number of (n+1)X(n+1) 0..3 arrays with every 2X2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 9.at n=5A234132
- Number of (n+1) X (6+1) 0..3 arrays with every 2 X 2 subblock having the sum of the absolute values of all six edge and diagonal differences equal to 9.at n=5A234138
- Number of partitions of n having depth 1; see Comments.at n=37A237685
- a(n) = n+binomial(2*n-6,n-3)+binomial(2*n-5,n-3)+binomial(n-1,n-3)+Sum_{i=1..n-3} (binomial(n+i-3,n-3)+2*n-i-5).at n=10A274295
- Expansion of Product_{k>=1} (1 + x^(k^2))^2/(1 - x^(k^2))^2.at n=30A279227
- Expansion of (1/(1 - x))*Sum_{k>=0} k!*x^(k*(k+1)/2)/Product_{j=1..k} (1 - x^j).at n=23A303664