7995
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 30
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 14112
- Proper Divisor Sum (Aliquot Sum)
- 6117
- 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
- 3840
- Möbius Function
- 1
- Radical
- 7995
- Omega Function (Ω)
- 4
- 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
- no
- Narcissistic Number
- no
- Collatz Steps
- 52
- Smith Number
- no
- 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
- a(n) = floor( n*(n-1)*(n-2)/8 ).at n=41A011890
- a(n) = ceiling(n*(n+1)*(n+2)/8).at n=39A047866
- Engel expansion of 1/e^2 = 0.135335... .at n=12A059194
- a(n) is the number of different degrees in the sequence of the degrees of the irreducible representations of the symmetric group S_n, i.e., count each degree only once.at n=35A060437
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 83 ).at n=28A063356
- a(n) = 5*n^2 + 10*n.at n=38A067724
- Smallest multiple of 5 with digit sum n.at n=29A069534
- Gives an LCD representation of n.at n=35A071843
- Sum of distinct prime factors of floor(Pi*10^n), Pi=3.14....at n=8A089286
- Numbers m that are the hypotenuse of exactly 13 distinct integer-sided right triangles, i.e., m^2 can be written as a sum of two squares in 13 ways.at n=41A097102
- Numbers k such that 8*R_k - 5 is prime, where R_k = 11...1 is the repunit (A002275) of length k.at n=20A099422
- Numbers k such that k^2 divides 16^k-1.at n=45A128396
- Numbers k whose representation can be split in two parts which can be used as seeds for a Fibonacci-like sequence containing k itself.at n=47A130792
- Indices of monotonically increasing primes which centrally enclose the prime sequence in A133781.at n=39A133782
- Composites that are the sum of two, three, four and five consecutive composite numbers.at n=10A151745
- a(n) = n-th odd nonprime * n-th odd number.at n=32A163506
- Number of compositions of n where differences between neighboring parts are in {-2,0,2}.at n=24A214253
- Antiharmonic mean of the divisors of A228023(n) (the n-th primitive antiharmonic number).at n=39A228024
- Number of (n+1)X(2+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal.at n=3A236878
- Number of (n+1)X(4+1) 0..2 arrays with the maximum plus the upper median plus the lower median of every 2X2 subblock equal.at n=1A236880