3958
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 25
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 4
- Divisor Sum
- 5940
- Proper Divisor Sum (Aliquot Sum)
- 1982
- 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
- 1978
- Möbius Function
- 1
- Radical
- 3958
- Omega Function (Ω)
- 2
- 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
- 144
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- yes
- 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
- yes
- Odd
- no
Appears in sequences
- From area of cyclic polygon of 2n + 1 sides.at n=5A000531
- a(1) = 0, a(2) = -2; for n > 2, a(n) + a(n-2) - a(n-3) - a(n-5) - ... - a(n-p) = (-1)^(n+1)*n if n is prime, otherwise = 0, where p = largest prime < n.at n=49A002120
- Coordination sequence T11 for Zeolite Code MFI.at n=40A008163
- Coordination sequence T4 for Zeolite Code PAU.at n=46A008222
- Coordination sequence T6 for Zeolite Code PAU.at n=46A008224
- Coordination sequence T3 for Zeolite Code SGT.at n=39A008231
- Expansion of 1/(1-x^6-x^7-x^8-x^9-x^10).at n=50A017850
- a(n) = position of n^2 + (n+1)^2 + (n+2)^2 in A000408.at n=38A024802
- a(n) = Sum_{k=0..n-1} T(n,k) * T(n,k+1), with T given by A026780.at n=5A027248
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 62.at n=8A031560
- Triangle related to A001700 and A000302 (powers of 4).at n=22A046658
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 92 ).at n=26A063365
- Numbers n such that binomial(2n, n) - 1 is prime.at n=27A066726
- Number of partitions of n into distinct parts such that number of parts is odd.at n=57A067659
- Semiprimes sandwiched between semiprimes.at n=43A086005
- a(n) = 2*n^2 + 6*n + 2.at n=43A090288
- a(n) = K_5(n) = Sum_{k>=0} A090285(5,k)*2^k*binomial(n,k). a(n) = 2*(2*n^5+45*n^4+360*n^3+1215*n^2+1528*n+315)/15.at n=3A090297
- Table T(n,k), n>=0 and k>=0, read by antidiagonals : the k-th column given by the k-th polynomial K_k related to A090285.at n=39A090299
- Number of partitions of n into distinct parts with even number of even parts.at n=57A096791
- Numbers n such that (2^n-1)^3+2 is prime.at n=9A100899