16684
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 12
- Divisor Sum
- 30184
- Proper Divisor Sum (Aliquot Sum)
- 13500
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 8064
- Möbius Function
- 0
- Radical
- 8342
- 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
- 128
- 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
- Sum{T(i,n-i): i=0,1,...,n}, array T as in A047100.at n=15A047101
- Triangle read by rows: T(n, k) = A084029(n, k)/n.at n=18A084033
- Alternating row sums of triangle A134830.at n=8A134831
- Numbers k for which 10k + 1, 10k + 3, 10k + 7, 10k + 9 and 10k + 13 are primes.at n=11A178084
- Number of 2 X 2 matrices having all elements in {-n,...n} and determinant 4.at n=31A209988
- Number of n X 3 0..1 arrays with rows unimodal and antidiagonals nondecreasing.at n=6A224404
- T(n,k)=Number of nXk 0..1 arrays with rows unimodal and antidiagonals nondecreasing.at n=42A224409
- Number of 7Xn 0..1 arrays with rows unimodal and antidiagonals nondecreasing.at n=2A224414
- a(n) = Sum_{i=0..n} digsum_6(i)^4, where digsum_6(i) = A053827(i).at n=23A231675
- a(n) = Sum_{i=0..n} digsum_7(i)^4, where digsum_7(i) = A053828(i).at n=23A231679
- Number of (n+1)X(4+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..4+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing.at n=3A232828
- T(n,k)=Number of (n+1)X(k+1) 0..1 arrays x(i,j) with row sums sum{j*x(i,j), j=1..k+1} nondecreasing, and column sums sum{i*x(i,j), i=1..n+1} nondecreasing.at n=24A232831
- Number of partitions p of n such that (number of numbers in p of form 3k) = (number of numbers in p of form 3k+1).at n=43A241744
- Numbers k such that sopfr(k) = tau(k)^2.at n=13A305026
- Number of compositions (ordered partitions) of n into distinct parts such that number of parts is even.at n=29A332305