16762
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 22
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 27630
- Proper Divisor Sum (Aliquot Sum)
- 10868
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 7616
- Möbius Function
- 0
- Radical
- 986
- 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
- 110
- 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 the continued fraction for sqrt(k) has period 39.at n=35A020378
- Number of strongly unimodal partitions of n (strongly unimodal means strictly increasing then strictly decreasing).at n=34A059618
- Number of partitions of n into 3-smooth parts.at n=48A105420
- Number of partitions of 3-smooth numbers into 3-smooth numbers.at n=14A117222
- Numbers n such that d(n + d(n)) = d(n), where d(n) is the sum of the distinct primes dividing n.at n=22A175760
- Number of (n+1)X(n+1) 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=3A186473
- Number of (n+1)X5 0..3 arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=3A186477
- 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=24A186482
- T(n,m)=Number of (n+1)X5 0..m arrays with every 2X2 subblock commuting with each of its horizontal and vertical 2X2 subblock neighbors.at n=18A189174
- Indices of squares of primes in A098550.at n=32A251240
- a(n) = (3*n+7)*n^2.at n=17A257042
- Partial sums of the number of active (ON, black) cells in n-th stage of growth of two-dimensional cellular automaton defined by "Rule 182", based on the 5-celled von Neumann neighborhood.at n=34A270632
- Number of amicable pairs with lesser member at most 2^n.at n=42A290985
- Sum of the odd parts in the partitions of n into 10 parts.at n=33A309661
- Primitive terms of A108569.at n=19A346277
- Expansion of 1/(1 - x^5/(1-x)^6).at n=16A369794
- a(n) = Sum_{k=0..floor(2*n/5)} binomial(k+1,2*n-5*k).at n=43A390020
- a(n) = Sum_{k=0..floor(3*n/5)} binomial(k+2,3*n-5*k).at n=27A390034