4084
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
- 6
- Divisor Sum
- 7154
- Proper Divisor Sum (Aliquot Sum)
- 3070
- 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
- 2040
- Möbius Function
- 0
- Radical
- 2042
- Omega Function (Ω)
- 3
- 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
- 51
- 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) = 2^n - n.at n=12A000325
- Coordination sequence T1 for Zeolite Code ABW and ATN.at n=44A008000
- Coordination sequence T6 for Zeolite Code MFS.at n=40A008178
- Coordination sequence T7 for Zeolite Code NES.at n=41A008211
- Coordination sequence T1 for Coesite.at n=34A008267
- Coordination sequence T4 for Zeolite Code TER.at n=43A016436
- Numbers k such that Fibonacci(k) == 3 (mod k).at n=44A023175
- Number of partitions of n into an even number of parts, the least being 3; also, a(n+3) = number of partitions of n into an odd number of parts, each >=3.at n=52A027195
- Numbers k such that the period of the continued fraction for sqrt(k) contains exactly 54 ones.at n=2A031822
- Numbers k such that 183*2^k+1 is prime.at n=23A032468
- Number of partitions of n with equal number of parts congruent to each of 1 and 2 (mod 4).at n=41A035543
- Number of partitions of n with equal nonzero number of parts congruent to each of 0, 2, 3 and 4 (mod 5).at n=59A046786
- Coordination sequence T3 for Zeolite Code AEN.at n=40A047952
- a(n) = a(n-1) + a(m) for n >= 4, where m = 2^(p+1) + 2 - n and p is the unique integer such that 2^p < n - 1 <= 2^(p+1), starting with a(1) = a(2) = 1 and a(3) = 3.at n=40A050033
- 1/2-Smith numbers.at n=25A050224
- Numbers k such that 63*2^k-1 is prime.at n=30A050557
- Nonprime numbers n such that n and n-reversed (<>n and no leading zeros) have the same number of prime factors and these prime factors (palindromes allowed here) are also reversals of each other.at n=51A050702
- Numbers k such that k*2^m+1 is prime for exactly one exponent m in the range 0<=m<=k.at n=36A061155
- Numbers of form 2^i*3^j - (i+j) with i, j >= 0.at n=53A069355
- Numerators of the partial sums of the reciprocals of the upper members of twin prime pairs.at n=3A071990