4992
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 24
- Digital Root
- 6
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 4
Divisibility
- Divisor Count
- 32
- Divisor Sum
- 14280
- Proper Divisor Sum (Aliquot Sum)
- 9288
- 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
- 1536
- Möbius Function
- 0
- Radical
- 78
- Omega Function (Ω)
- 9
- 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
- yes
- Narcissistic Number
- no
- Collatz Steps
- 41
- 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
- Cake numbers: maximal number of pieces resulting from n planar cuts through a cube (or cake): C(n+1,3) + n + 1.at n=31A000125
- Smallest k such that phi(x) = k has exactly n solutions, n>=2.at n=49A007374
- Coordination sequence T6 for Zeolite Code EUO.at n=44A008101
- Theta series of {D_6}^{+} lattice.at n=35A008434
- Theta series of direct sum of 2 copies of f.c.c. lattice.at n=15A008663
- Eight iterations of Reverse and Add are needed to reach a palindrome.at n=17A015988
- a(n) = s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = (natural numbers), t = A000201 (lower Wythoff sequence).at n=31A024863
- Numbers that are the sum of 4 nonzero squares in exactly 3 ways.at n=48A025359
- Expansion of (theta_3(z)*theta_3(11z) + theta_2(z)*theta_2(11z))^3.at n=35A028611
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 25 (most significant digit on left).at n=17A029494
- Theta series of 6-dimensional 11-modular even lattice of minimal norm 4.at n=35A029586
- Numbers k such that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 35.at n=16A031533
- Denominators of continued fraction convergents to sqrt(657).at n=12A042263
- Numbers that are divisible by at least 9 primes (counted with multiplicity).at n=32A046311
- Numbers that are divisible by exactly 9 primes with multiplicity.at n=21A046312
- Triangular array read by rows: a(n,k) = Sum_{d|k} mu(d)*U(n,k/d)/n if k|n else 0, where U(n,k) = A047916(n,k) (1<=k<=n).at n=35A047919
- 12-gonal (or dodecagonal) numbers: a(n) = n*(5*n-4).at n=32A051624
- 20-gonal (or icosagonal) numbers: a(n) = n*(9*n-8).at n=24A051872
- McKay-Thompson series of class 42d for Monster.at n=43A058678
- Numbers k such that sigma(x) = k has exactly 10 solutions.at n=8A060666