14706
domain: N
Properties
Digital Properties
- Digit Count
- 5
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 34320
- Proper Divisor Sum (Aliquot Sum)
- 19614
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4536
- Möbius Function
- 0
- Radical
- 4902
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 164
- 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
- G.f.: q * Product_{m>=1} (1-q^m)^8*(1-q^2m)^8.at n=17A002288
- Doubly triangular numbers: a(n) = n*(n+1)*(n^2+n+2)/8.at n=18A002817
- a(n) = 2*n*(4*n - 1).at n=43A014635
- a(n) = 6*a(n-1) + 7*a(n-2), a(0) = 0, a(1) = 1.at n=6A015552
- If d,e are consecutive digits of n in base 7, then |d-e|>=5.at n=41A032995
- Base-7 palindromes that start with 6.at n=22A043020
- Expansion of (Product_{j>=1} (1-(-x)^j) - 1)^19 in powers of x.at n=8A047644
- Consider all integer triples (i,j,k), j >= k>0, with i^3=binomial(j+2,3)+binomial(k+2,3), ordered by increasing i; sequence gives k values.at n=15A054210
- a(n) = 49*(n*(n+1)/2) + 6.at n=24A061792
- a(n) = n^5 - n^4 + n^3 - n^2 + n - 1.at n=7A062159
- Triangular numbers which are 5-almost primes.at n=35A076579
- Number of permutations of length n containing the minimum number of monotone subsequences of length 4.at n=12A079104
- a(n) = (n+1)^n/(n+2) - (-1)^n/(n+2).at n=6A083062
- Smallest triangular number > 1 and == 1 (mod prime(n)).at n=39A087397
- Triangular numbers with palindromic indices.at n=26A089717
- Numbers whose set of base 7 digits is {0,6}.at n=21A097253
- Indices of primes in sequence defined by A(0) = 79, A(n) = 10*A(n-1) - 51 for n > 0.at n=11A101138
- Hexagonal numbers for which the product of the digits is also a hexagonal number.at n=35A117063
- Triangular numbers for which the sum of the digits is a heptagonal number.at n=20A117312
- Triangular numbers n divisible by the number of triangular numbers smaller than n.at n=31A117519