3458
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 6720
- Proper Divisor Sum (Aliquot Sum)
- 3262
- 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
- 1296
- Möbius Function
- 1
- Radical
- 3458
- 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
- no
- Harshad Number
- no
- Narcissistic Number
- no
- Collatz Steps
- 105
- 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 Product (1 - x^k)^8 in powers of x.at n=60A000731
- MacMahon's solid partitions of n in which 3 is the smallest summand.at n=10A002044
- a(n) = 6*n^2 + 2 for n > 0, a(0)=1.at n=24A005897
- Expansion of 1/((1-x)^2*(1-x^2)*(1-x^4)).at n=51A008804
- a(0) = 1, a(n) = 24*n^2 + 2 for n>0.at n=12A010014
- Length of n-th term of A022482.at n=26A022483
- Coordination sequence T5 for Zeolite Code MWW.at n=40A024990
- Numbers that are the sum of 4 positive cubes in exactly 3 ways.at n=29A025405
- Numbers that are the sum of 4 positive cubes in 3 or more ways.at n=31A025407
- a(n) = C(n+2, 2) + C(n+2, 3) + C(n+2, 4) + C(n+2, 5).at n=12A027660
- Numbers whose square is palindromic in base 12.at n=20A029737
- "CGK" (necklace, element, unlabeled) transform of 2,1,1,1,...at n=22A032157
- Number of partitions of n into parts not of the form 17k, 17k+4 or 17k-4. Also number of partitions with at most 3 parts of size 1 and differences between parts at distance 7 are greater than 1.at n=30A035965
- Numbers ending with '8' that are the difference of two positive cubes.at n=16A038863
- Numerators of continued fraction convergents to sqrt(365).at n=4A041690
- Denominators of continued fraction convergents to sqrt(942).at n=7A042823
- Numbers n such that string 5,8 occurs in the base 10 representation of n but not of n-1.at n=37A044390
- Numbers n such that string 5,8 occurs in the base 10 representation of n but not of n+1.at n=37A044771
- Coordination sequence T5 for Zeolite Code ISV.at n=41A047962
- Iterated procedure 'composite k added to sum of its prime factors reaches a prime' yields 5 skipped primes.at n=34A050772