4089
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 21
- Digital Root
- 3
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 1
Divisibility
- Divisor Count
- 8
- Divisor Sum
- 5760
- Proper Divisor Sum (Aliquot Sum)
- 1671
- 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
- 2576
- Möbius Function
- -1
- Radical
- 4089
- 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
- 64
- 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
- no
- Odd
- yes
Appears in sequences
- Number of primes < prime(n)^2.at n=44A000879
- Centered octahedral numbers (crystal ball sequence for cubic lattice).at n=14A001845
- Number of partially achiral planted trees with n nodes.at n=17A003237
- a(n) = C(n,1) + C(n,2) + C(n,3), or n*(n^2 + 5)/6.at n=29A004006
- Coordination sequence T7 for Zeolite Code DDR.at n=40A008077
- Pseudoprimes to base 46.at n=39A020174
- Pseudoprimes to base 95.at n=20A020223
- a(n) = position of 3*n^2 in sequence A025051 (numbers of form j*k + k*i + i*j, without repetitions, where 1 <= i <= j <= k).at n=36A025056
- Molien series for group Gamma_{3,0}(2).at n=17A027632
- a(n) = (2*n+1)*(10*n+1).at n=14A033574
- Numerator of Sum_{i=1..n} i/2^i.at n=12A036295
- Numbers having three 7's in base 8.at n=22A043451
- a(n) = T(7,n), array T given by A048483.at n=9A048490
- Number of ways of placing n nonattacking superqueens on n X n board (symmetric solutions count only once).at n=14A051224
- (Terms in A014450)/2.at n=33A051474
- (Terms in A014472)/2.at n=17A051475
- 12-gonal (or dodecagonal) numbers: a(n) = n*(5*n-4).at n=29A051624
- Number of 3 X 3 matrices, with elements from {0,...,n}, having the property that the middle element of each of the eight 3-element horizontal, vertical and diagonal lines equals the average of the two end elements.at n=28A059329
- Integer part of log(n!)^(1 + log(log(1 + n))).at n=21A062475
- Nearest integer to log(n!)^(1 + log(log(1 + n))).at n=21A062476