3048
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 15
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 16
- Divisor Sum
- 7680
- Proper Divisor Sum (Aliquot Sum)
- 4632
- Abundant Number
- yes
- Perfect Number
- no
- Deficient Number
- no
- Highly Composite
- no
- Weird Number
- no
- Untouchable Number
- no
- Primitive Abundant
- no
Derived Values
- Euler's Totient
- 1008
- Möbius Function
- 0
- Radical
- 762
- Omega Function (Ω)
- 5
- 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
- 110
- Smith Number
- no
- Vampire Number
- no
Primality
- Prime
- no
- Composite Number
- yes
- Semiprime
- no
- Squarefree Number
- no
- 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
- a(n+1) = 1 + a( floor(n/1) ) + a( floor(n/2) ) + ... + a( floor(n/n) ).at n=29A003318
- Numbers that are the sum of 10 positive 6th powers.at n=40A003366
- Coordination sequence T5 for Zeolite Code CON.at n=39A009872
- Expansion of 1/((1-2x)(1-4x)(1-12x)).at n=3A016294
- Sequence A025513 divided by 2.at n=12A025514
- Numbers k such that 115*2^k+1 is prime.at n=11A032407
- Decimal part of n-th root of a(n) starts with digit 2.at n=42A034079
- Record values of sigma(n).at n=42A034885
- Consider the trajectory of n under the iteration of a map which sends x to 3x - sigma(x) if this is >= 0; otherwise the iteration stops. The sequence gives values of n which eventually reach 0.at n=5A037159
- Denominators of continued fraction convergents to sqrt(112).at n=11A041203
- Numbers k such that the string 5,6 occurs in the base 9 representation of k but not of k-1.at n=41A044302
- Numbers n such that string 4,8 occurs in the base 10 representation of n but not of n-1.at n=33A044380
- Numbers n such that string 4,8 occurs in the base 10 representation of n but not of n+1.at n=33A044761
- Number of n-digit numbers with nonzero multiplicative digital root 1.at n=4A051812
- Discriminants of real quadratic number fields K with class number 2 such that the Hilbert class field of K is K(sqrt(2)).at n=46A052476
- Open 3-dimensional ball numbers (version 3): a(n) is the number of integer points (i,j,k) contained in an open ball of diameter n, centered at (1/2,1/2,0).at n=18A053595
- Numbers k such that 3*2^k - 5 is prime.at n=27A057912
- a(n) = (a(n-1)a(n-5) + a(n-2)a(n-4) + a(n-3)^2)/a(n-6).at n=52A058232
- Numbers k such that sigma(x) = k has exactly 4 solutions.at n=41A060660
- Numbers k such that phi(x) = k has exactly 6 solutions.at n=44A060669