4662
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
- 4
Divisibility
- Divisor Count
- 24
- Divisor Sum
- 11856
- Proper Divisor Sum (Aliquot Sum)
- 7194
- 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
- 1296
- Möbius Function
- 0
- Radical
- 1554
- Omega Function (Ω)
- 5
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 108
- 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
- Number of nonnegative solutions to x^2 + y^2 + z^2 <= n^2.at n=20A000604
- a(n) = floor( n*(n-1)*(n-2)/10 ).at n=37A011892
- Numbers whose base-5 representation is the juxtaposition of two identical strings.at n=36A020333
- 7 times triangular numbers: 7*n*(n+1)/2.at n=36A024966
- G.f.: Product_{k>=1} (1 + 2*x^k).at n=28A032302
- The convolution matrix of the double factorial of odd numbers (A001147).at n=42A035342
- Base 5 digits are, in order, the first n terms of the periodic sequence with initial period 1,2,2.at n=5A037546
- Numbers whose maximal base-6 run length is 4.at n=28A037987
- Numbers that are divisible by 6 (and 18) and are differences between two cubes in at least one way.at n=16A038852
- Numbers ending with '2' that are the difference of two positive cubes.at n=14A038857
- Triangle read by rows: matrix cube of the Stirling-1 triangle A008275.at n=42A039815
- Numerators of continued fraction convergents to sqrt(445).at n=4A041846
- Numbers having four 2's in base 5.at n=25A043360
- Numbers having four 3's in base 6.at n=12A043384
- Triangle read by rows: T(n,k) = number of labeled digraphs with n nodes and k arcs and without directed paths of length >=2, with 0 <= k <= floor(n^2/4).at n=39A052296
- Multiples of 9 having only even digits.at n=38A061831
- When expressed in base 3 and then interpreted in base 7, is a multiple of the original number.at n=27A062884
- Trajectory of n under the Reverse and Add! operation carried out in base 4 (presumably) does not reach a palindrome and (presumably) does not join the trajectory of any term m < n.at n=20A075421
- a(n) = Sum_{k=1..n} antisigma(k), where antisigma(i) = sum of the nondivisors of i that are between 1 and i.at n=30A076664
- Number of transitions necessary for a Turing machine to compute the differences between consecutive primes (primes written in unary), when using the instruction table below.at n=14A078612