7996
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 31
- Digital Root
- 4
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 6
- Divisor Sum
- 14000
- Proper Divisor Sum (Aliquot Sum)
- 6004
- 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
- 3996
- Möbius Function
- 0
- Radical
- 3998
- Omega Function (Ω)
- 3
- Little Omega Function (ω)
- 2
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
- 52
- 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
- T(n,[ n/2 ]), where T is the array defined in A026105.at n=13A026117
- n^3*a(n) is the number of circles in complex projective plane tangent to three smooth curves of degree n in general position.at n=18A030653
- [ exp(6/13)*n! ].at n=6A030928
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 50 ones.at n=26A031818
- Numbers k such that 243*2^k+1 is prime.at n=21A032498
- Number of partitions of n into parts not of the form 11k, 11k+5 or 11k-5. Also number of partitions with at most 4 parts of size 1 and differences between parts at distance 4 are greater than 1.at n=38A035948
- Numbers whose base-4 representation contains exactly two 0's and four 3's.at n=21A045075
- a(n) = A047881(n) / 2.at n=34A047882
- Starting from generation 6 add previous and next term yielding generation 7.at n=30A048453
- a(n) = 5*n^2 + 10*n + 1. Coefficients of the rational part of (1 + sqrt(n))^5.at n=39A134593
- Least number k such that A070635(k) = n.at n=29A138791
- T(n,k) = [x^k] Product_{m=1..n} d/dx Sum_{i=1..m} x^i; triangle read by rows, n >= 0, 0 <= k <= A161680(n).at n=35A139769
- Number of sequences of n integers p(i) i=0..n-1 with 0<=p(i)<=6*i and -6<p(i)-p(i-1)<=6.at n=4A180911
- T(n,k)=number of sequences of n integers p(i) i=0..n-1 0<=p(i)<=k*i and -k<p(i+1)-p(i)<=k.at n=49A180915
- a(n) = Sum_{k=0..n} floor(sqrt(Bell(k)))*floor(sqrt(Bell(n-k))).at n=12A192573
- The least nonsquare number s having exactly n twos in the periodic part of the continued fraction of sqrt(s).at n=36A206582
- Numbers whose Schwarzian arithmetic derivative is an integer.at n=19A209872
- Number of nonnegative integer arrays of length n+13 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value 7.at n=4A211847
- T(n,k)=Number of nonnegative integer arrays of length n+2k+1 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value k+1.at n=49A211849
- Number of nonnegative integer arrays of length 2n+6 with new values 0 upwards introduced in order, no three adjacent elements all unequal, and containing the value n+1.at n=5A211851