4284
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 18
- Digital Root
- 9
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 3
Divisibility
- Divisor Count
- 36
- Divisor Sum
- 13104
- Proper Divisor Sum (Aliquot Sum)
- 8820
- 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
- 1152
- Möbius Function
- 0
- Radical
- 714
- Omega Function (Ω)
- 6
- 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
- yes
- Harshad Number
- yes
- Narcissistic Number
- no
- Collatz Steps
- 170
- 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 + Sum_{k=0..n} 2^k*k!.at n=6A004400
- Alkane (or paraffin) numbers l(8,n).at n=13A005995
- Coordination sequence T2 for Zeolite Code NAT.at n=44A008204
- Coordination sequence T1 for Cordierite.at n=39A008251
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=36A011892
- Expansion of e.g.f. arcsinh(exp(x)*log(x+1)).at n=8A012277
- a(n) is the concatenation of n and 2n.at n=41A019550
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=33A020333
- Coordination sequence T1 for Zeolite Code IFR.at n=46A024982
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (composite numbers), t = (odd natural numbers).at n=21A025104
- Numbers with exactly five distinct base-8 digits.at n=17A031985
- Number of reversible strings with n-1 beads of 2 colors. 5 beads are black. String is not palindromic.at n=12A032092
- Coordination sequence T2 for Zeolite Code CFI.at n=43A033600
- Number of partitions of n into parts not of form 4k+2, 12k, 12k+3 or 12k-3.at n=53A036018
- Number of 2n-bead balanced binary strings of fundamental period 2n, rotationally equivalent to reversed complement, inequivalent to reverse and complement.at n=9A045669
- Numbers k such that sopfr(k) = sopfr(k - sopfr(k)).at n=12A050781
- (Terms in A029613)/2.at n=34A051435
- (Terms in A014476)/2.at n=41A051497
- a(1) = 1, a(2) = 3; for n>2, a(n) = least value > a(n-1) such that pairwise differences are unique.at n=47A051788
- One half of binomial coefficients C(2*n-4,5).at n=6A053132