16836
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 41664
- Proper Divisor Sum (Aliquot Sum)
- 24828
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 5280
- Möbius Function
- 0
- Radical
- 8418
- 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
- yes
- Perfect Square
- no
- Perfect Cube
- no
- Pentagonal Number
- no
- Hexagonal Number
- yes
- 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
- 35
- 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
- Base-8 palindromes that start with 4.at n=25A043024
- Numbers n such that n | Sigma_2(n) + Sigma_1(n) + Sigma_0(n).at n=15A057852
- Maximal value of Sum_{i=1..n} (p(i) - p(i+1))^2, where p(n+1) = p(1), as p ranges over all permutations of {1, 2, ..., n}.at n=36A064842
- Smallest triangular number which is a multiple (>1) of the n-th triangular number.at n=22A068084
- Rounded volume of a regular dodecahedron with edge length n.at n=13A071401
- Triangular numbers whose sum of prime factors (with repetition) is also triangular.at n=18A076169
- a(n) = (25*n^2 - 15*n + 2)/2.at n=37A080857
- a(n) = n*(n^2+3*n-1)/3.at n=36A084990
- Triangular numbers m such that A040115(m) is also triangular.at n=21A087597
- Smallest nonzero n-digit term of A087597, or 0 if no such number exists.at n=4A087599
- Triangle read by rows in which the n-th row contains the n smallest triangular numbers with the least significant digits of the n-th triangular number.at n=30A095225
- Number of partitions of n having positive even rank (the rank of a partition is the largest part minus the number of parts).at n=44A101708
- Triangle, read by rows, where T(n,k) = T(n,k-1) + (k+1)*T(n-1,k) for n>k>0, T(n,0)=1 and T(n,n) = T(n,n-1) for n>=0.at n=31A102316
- Hexagonal numbers divisible by 6.at n=31A117794
- Triangular numbers n*(n+1)/2 with n composite, where number of prime factors of n, counted with multiplicity, is less than the number of prime factors in n+1.at n=31A144524
- Number of nX4 1..4 arrays with all 1s connected, all 2s connected, all 3s connected, all 4s connected, 1 in the upper left corner, 2 in the upper right corner, 3 in the lower left corner, 4 in the lower right corner, and with no element having more than 2 neighbors with the same value.at n=13A164756
- a(n) = A185128(n) - A185129(n).at n=9A185253
- Triangular numbers T from A000217 such that (4*T+1)/5 is prime.at n=35A207339
- Triangle read by rows: distribution of adjacent transpositions in involutions.at n=52A217876
- Least triangular number t such that t = prime(n)*triangular(m) for some m>0, or 0 if no such t exists.at n=17A225503