16874
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 26
- Digital Root
- 8
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 30240
- Proper Divisor Sum (Aliquot Sum)
- 13366
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 6960
- Möbius Function
- 1
- Radical
- 16874
- Omega Function (Ω)
- 4
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 84
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- yes
- 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 1's in n-th term of A006711.at n=36A022477
- Generalized Catalan Numbers x^4*A(x)^2 -(1-x+x^4+x^5)*A(x) +1 =0.at n=23A023428
- Number of chiral orthoplex n-ominoes in n-2 space.at n=10A036368
- Number of positive integers <= 2^n of form x^2 + 19 y^2.at n=17A054232
- Numbers k such that k^14 == 1 (mod 15^3).at n=19A056087
- Seventh root of n contains n as a string of digits to the immediate right of the decimal point (excluding leading zeros).at n=2A074119
- 6th diagonal of triangle in A059317.at n=16A106150
- a(n) = (n+1)(n+2)(n+3)(9n^2 + 26n + 20)/120.at n=10A110159
- Number of permutations of length n which avoid the patterns 321, 2341, 4123.at n=12A116716
- a(n) = n^3 - n^2 - n.at n=26A152015
- a(n) = 25*n^2 - n.at n=25A157514
- a(n) = 100*n^2 - 2*n.at n=13A158129
- a(n) = 625*n - 1.at n=26A158374
- a(n) = 676*n^2 - 26.at n=4A158639
- a(n) = a(n-2)+a(n-4); a(1)=a(4)=101, a(2)=a(3)=10.at n=26A180236
- Number of 2 X 2 nonsingular 0..n matrices with a(1,1) <= a(1,2) <= a(2,1) <= a(2,2).at n=22A183763
- Number of (n+2) X 10 binary arrays with every 3 X 3 subblock commuting with each horizontal and vertical neighbor 3 X 3 subblock.at n=13A190032
- Numbers k such that 2*10^k - 69 is prime.at n=17A290033
- G.f.: Limit_{K->oo} Sum_{n=-oo..+oo} x^(n-K) * (1 - x^n + n*(n+1)/6 * x^(n+K))^n.at n=42A292177
- Numbers k such that bsigma(k) = bsigma(k+1), where bsigma(k) is the sum of the bi-unitary divisors of k (A188999).at n=20A293183