16932
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 42336
- Proper Divisor Sum (Aliquot Sum)
- 25404
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5248
- Möbius Function
- 0
- Radical
- 8466
- Omega Function (Ω)
- 5
- Little Omega Function (ω)
- 4
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
- 203
- 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
- Expansion of q^(-1/4) * (eta(q^4) / eta(q))^2 in powers of q.at n=21A001936
- Number of proper factorizations of p1^n*p2^4, where p1 and p2 are distinct primes.at n=16A031127
- Multiplicity of highest weight (or singular) vectors associated with character chi_30 of Monster module.at n=38A034418
- Ruth-Aaron numbers (2): sum of prime divisors of n = sum of prime divisors of n+1 (both taken with multiplicity).at n=23A039752
- Numbers k such that sopfr(k) = sopf(k+1), where sopf(k) = A008472(k) and sopfr(k) = A001414(k).at n=14A064675
- Triangle read by rows: T(n,k) is number of paths from (0,0) to (3n,0) that stay in the first quadrant (but may touch the horizontal axis), consisting of steps u=(2,1), U=(1,2), or d=(1,-1) and having abscissa of first return equal to 3k.at n=23A108439
- Numbers k such that k + sigma(k) + phi(k) is a square.at n=24A116009
- 3 times 12-gonal (or dodecagonal) numbers: a(n) = 3*n*(5*n-4).at n=34A153448
- Sum 2^((k^2+3k)/2) from k=1 to n.at n=3A178184
- Number of ways to place n nonattacking amazons (superqueens) on an n X n toroidal board.at n=16A178986
- Number of 5-step S, NW and NE-moving king's tours on an n X n board summed over all starting positions.at n=17A187379
- Number of (w,x,y,z) with all terms in {1,...,n} and w > x < y >= z.at n=17A212501
- Expansion of (1-3*x+x^2)*(1-x)/(1-9*x+28*x^2-35*x^3+15*x^4-x^5).at n=7A221862
- Numbers of the form 5^j + 7^k, for j and k >= 0.at n=37A226818
- Number of partitions p of n such that exactly one number is in both p and its conjugate.at n=44A240675
- Number of length n+3 0..5 arrays with some disjoint pairs in every consecutive four terms having the same sum.at n=6A247530
- Number of length 7+3 0..n arrays with some disjoint pairs in every consecutive four terms having the same sum.at n=4A247539
- Number of length n+5 0..2 arrays with no three disjoint pairs in any consecutive six terms having the same sum.at n=4A248442
- T(n,k)=Number of length n+5 0..k arrays with no three disjoint pairs in any consecutive six terms having the same sum.at n=19A248448
- Number of length 5+5 0..n arrays with no three disjoint pairs in any consecutive six terms having the same sum.at n=1A248453