7683
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 11088
- Proper Divisor Sum (Aliquot Sum)
- 3405
- Abundant Number
- no
- Perfect Number
- no
- Deficient Number
- yes
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 4704
- Möbius Function
- -1
- Radical
- 7683
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 3
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
- 39
- Smith Number
- yes
- 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
- no
- Odd
- yes
Appears in sequences
- Truncated tetrahedral numbers: a(n) = (1/6)*(n+1)*(23*n^2 + 19*n + 6).at n=12A005906
- Least k>1 such that reverse of first n terms of A022303 repeats beginning at k-th term.at n=50A025520
- Denominators of continued fraction convergents to sqrt(645).at n=6A042239
- Number of bracelets of length n using exactly two different colored beads.at n=17A056342
- Numbers k such that floor(Pi^k) is prime.at n=8A059792
- Border sum triangle, read by rows: Let T(n,0)=T(n,n)=1. In general T(n,m) is the sum of the elements (apart from T(n,m) itself) in the border of the rectangle with vertices T(0,0), T(n-m,0), T(n,m) and T(m,m).at n=60A063394
- T(2n,n) with T(n,m) as in A063394.at n=5A063395
- T(5,n) with T(n,m) as in A063394.at n=5A063398
- Numbers n such that phi(3n-1) = sigma(n).at n=40A067232
- Numbers n such that sigma(n)=phi(n*bigomega(n)-1).at n=24A067877
- Numbers k such that sigma(k) = phi(k*omega(k)-1).at n=35A067878
- a(n) = a(n-1) - a(n-2) + a(n-3) + a(n-4), a(0)=4, a(1)=1, a(2)=-1, a(3)=1.at n=34A073937
- Reflected tetranacci numbers A073817.at n=34A074058
- Sum of terms in n-th row of A081491.at n=12A081492
- Least positive multiples of index n that can result from the self-convolution of a monotonically increasing sequence (A087148).at n=47A087149
- Sum of primitive roots of n-th prime.at n=38A088144
- Indices of primes in sequence defined by A(0) = 17, A(n) = 10*A(n-1) - 33 for n > 0.at n=16A102013
- Least number d such that 10^n -/+ 3d form a prime pair.at n=48A117738
- Number of slanted n X 4 (i=1..n) X (j=i..4+i-1) 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=27A165378
- a(n) = n*(2 + 5*n).at n=39A168668