5902
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 16
- Digital Root
- 7
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 9576
- Proper Divisor Sum (Aliquot Sum)
- 3674
- 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
- 2712
- Möbius Function
- -1
- Radical
- 5902
- 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
- 98
- 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
- yes
- Odd
- no
Appears in sequences
- Expansion of sinh(x)/cos(log(1+x)).at n=7A009629
- a(n) = T(3n,n), where T is the array defined in A024996.at n=5A026074
- a(n) = Sum_{k=0..2n-2} T(n,k) * T(n,k+2), with T given by A027052.at n=4A027080
- [ exp(3/19)*n! ].at n=6A030875
- Otto Haxel's guess for magic numbers of nuclear shells.at n=26A033547
- a(n) = Sum_{i=0..n} T(i,n-i), array T as in A049723.at n=17A049724
- Composite numbers k for which phi(k) + sigma(k) is an integer multiple of the 4th power of the number of divisors of k.at n=26A055468
- Expansion of e.g.f. exp(x*exp(x) + 1/2*x^2*exp(x)^2).at n=6A060905
- Numbers k such that numerator(Bernoulli(2*k)/(2*k)) is different from numerator(Bernoulli(2*k)/(2*k*(2*k-1))).at n=20A090495
- Largest number k such that the interval [k^2,(k+1)^2] contains not more than n pairs of twin primes.at n=34A099154
- Numbers n such that 2*10^n + 4*R_n + 5 is prime, where R_n = 11...1 is the repunit (A002275) of length n.at n=7A102955
- Square root of pi(A064523(n)).at n=11A115835
- Poincaré series [or Poincare series] P(C_{4,2}(0); t).at n=16A124637
- Eigentriangle generated from A109128, row sums = expansion of {2(exp(x)-1)}.at n=34A144061
- Twice 11-gonal numbers: a(n) = n*(9*n-7).at n=26A152995
- Number of planar n X n X n binary triangular grids with no more than 4 ones in any similarly oriented 4 X 4 X 4 subtriangle.at n=5A153558
- If 0 <= n <= 3 then a(n) = n(n+1)(n+2)/3, if n >= 4 then a(n) = n(n^2+5)/3.at n=26A162626
- Third left hand column of triangle A163940.at n=13A163943
- Numbers n such that sqrt(36*n+49) is prime.at n=31A168669
- Number of n-bead necklaces labeled with numbers 1..7 allowing reversal, with no adjacent beads differing by more than 1.at n=10A208720