8740
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 19
- Digital Root
- 1
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 20160
- Proper Divisor Sum (Aliquot Sum)
- 11420
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 3168
- Möbius Function
- 0
- Radical
- 4370
- 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
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 109
- 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
- Number of self-complementary 2-colored bracelets (turnover necklaces) with 2n beads.at n=14A007148
- Cycle class sequence c(n) (the number of true cycles of length n in which a certain node is included) for zeolite MOR = Mordenite Na8[Al8Si40O96].24H2O starting with a T3 atom.at n=12A019181
- s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n+1-k), where k = [ (n+1)/2 ], s = (Fibonacci numbers), t = A000201 (lower Wythoff sequence).at n=23A024464
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (Fibonacci numbers), t = A000201 (lower Wythoff sequence).at n=22A025084
- Four times second pentagonal numbers: a(n) = 2*n*(3*n+1).at n=38A033580
- Engel expansion of 1/e = 0.367879... .at n=46A059193
- Sum of squares of entries of Wilkinson's eigenvalue test matrix of order 2n+1.at n=23A059834
- First of triples of consecutive happy numbers, i.e., the first of three consecutive integers each of which is a happy number (A007770).at n=9A072494
- Sum of first n 5-almost primes.at n=32A086047
- Row sums of triangle A091499, in which A091499(n,k) equals the k-th term of the convolution of the two prior rows indexed by (n-k) and (k-1).at n=22A091501
- Graham-Pollak sequence with initial term 8.at n=20A091523
- Denominator of the integral of the n-th power of the Cantor function.at n=7A095845
- Indices of primes in sequence defined by A(0) = 13, A(n) = 10*A(n-1) + 43 for n > 0.at n=8A102027
- Concerning the popular MMORPG "Runescape" by JAGeX corporation, this sequence gives the number of experience points needed for a given level in a skill.at n=25A111078
- sigma(n) + n is a square.at n=22A114069
- Record values in A132601.at n=44A132603
- a(n) = 250*n - 10.at n=34A154378
- Riordan array (f(x), x*f(x)) where f(x) is the g.f. of A059738.at n=29A171505
- Second edge diagonal of table A176577. (The first edge diagonal is A099627).at n=29A176575
- Numbers k such that 6^7 + k^2 is a square.at n=18A180971