5034
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 12
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 10080
- Proper Divisor Sum (Aliquot Sum)
- 5046
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- yes
Derived Values
- Euler's Totient
- 1676
- Möbius Function
- -1
- Radical
- 5034
- 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
- 41
- 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
- Coefficient of q^(2n-1) in the series expansion of Ramanujan's mock theta function f(q).at n=39A000199
- A binomial coefficient summation.at n=10A003162
- Coordination sequence for MgZn2, Position Zn1.at n=18A009937
- Number of integer points (x,y,z) at distance <= 0.5 from sphere of radius n.at n=20A016728
- Expansion of 1/((1-3x)(1-4x)(1-6x)(1-11x)).at n=3A028036
- Numbers k such that 175*2^k+1 is prime.at n=20A032464
- Numbers m such that the factorizations of m..m+3 have the same number of primes (including multiplicities).at n=18A045940
- Numbers m such that the factorizations of m..m+4 have the same number of primes (including multiplicities).at n=6A045941
- Triangle of numbers related to Eulerian numbers.at n=30A046803
- Differences of two factorial numbers.at n=19A051949
- Number of subsequences of {1..n} such that all differences of pairs of terms are distinct (i.e., number of Golomb rulers on {1..n}).at n=18A054578
- Maximal number of regions into which 4-space can be divided by n hyperspheres.at n=17A059173
- Dimension of the space of weight n cuspidal newforms for Gamma_1( 91 ).at n=16A063364
- Numbers k such that the number of distinct primes dividing k = number of anti-divisors of k.at n=34A073713
- Numbers k such that A068340(k) = +/-5.at n=2A077033
- a(n) = Sum_{i=1..n} i^2*t(i), where t = A000217.at n=7A086689
- Number of regions that the line segments in A091908(n) cut the equilateral triangle into.at n=41A092098
- Number of different terms in a period of continued fraction for square root of n-th repunit.at n=15A096488
- Number of n-node unlabeled connected digraphs whose underlying graphs are mating graphs, cf. A006024.at n=4A102598
- McKay-Thompson series of class 32a for the Monster group.at n=31A107635