7686
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 27
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 19344
- Proper Divisor Sum (Aliquot Sum)
- 11658
- 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
- 2160
- Möbius Function
- 0
- Radical
- 2562
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 145
- 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
- a(n) = floor(n*(n - 1)*(n - 2)/31).at n=63A011913
- Least sum of 3 distinct nonzero squares in exactly n ways.at n=32A025415
- Least k>1 such that reverse of first n terms of A006928 repeats beginning at k-th term.at n=53A025509
- Least k>1 such that reverse of first n terms of A022303 repeats beginning at k-th term.at n=47A025520
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 2,2,1.at n=5A037562
- Denominators of continued fraction convergents to sqrt(240).at n=5A041449
- a(n) = n*(2*n+5)*(n-1)/6.at n=28A051925
- Inverse Moebius transform of A000029 (starting at term 0).at n=18A054155
- McKay-Thompson series of class 19A for Monster.at n=19A058549
- Number of tilings of the 3-dimensional zonotope constructed from D vectors.at n=4A060595
- Triangle T(n,k) (0 <= k <= n) giving number of tilings of the k-dimensional zonotope constructed from n vectors.at n=31A060637
- Values of m such that N = (am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,3.at n=34A064238
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,5.at n=15A064239
- Values of m such that N=(am+1)(bm+1)(cm+1) is a 3-Carmichael number (A087788), where a,b,c = 1,2,41.at n=1A064257
- Number of n-digit base 4 biquanimous numbers (with leading 0's allowed, but not all-0 string).at n=6A064671
- Natural numbers written out with their digits grouped in sets of four (leading zeros omitted).at n=31A091332
- If p(x) is the x-th prime, then the n-th set of 4 consecutive sexy prime pairs starts at p(a(n)).at n=12A095963
- Triangle read by rows: (1/4) * (A007318^3 - A007318^(-1)) as infinite lower triangular matrices.at n=40A131049
- McKay-Thompson series of class 19A for the Monster group with a(0) = 3.at n=19A136569
- Hankel transform of expansion of 1/c(x)^3, c(x) the g.f. of A000108.at n=26A144701