4592
domain: N
Properties
Digital Properties
- Digit Count
- 4
- Digit Sum
- 20
- Digital Root
- 2
- Palindromic Number
- no
- Repdigit
- no
- Automorphic
- no
- Kaprekar Number
- no
- Multiplicative Persistence
- 2
Divisibility
- Divisor Count
- 20
- Divisor Sum
- 10416
- Proper Divisor Sum (Aliquot Sum)
- 5824
- 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
- 1920
- Möbius Function
- 0
- Radical
- 574
- Omega Function (Ω)
- 6
- 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
- 46
- Smith Number
- yes
- 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
- Conjectured dimension of a module associated with the free commutative Moufang loop with n generators.at n=7A000373
- Number of solutions to the rook problem on an n X n board having a certain symmetry group (see Robinson for details).at n=10A000900
- Expansion of (theta_3(z)*theta_3(7z)+theta_2(z)*theta_2(7z))^3.at n=27A002653
- Theta series of 6-dimensional lattice A_6^(2) (other names for this lattice or the corresponding quadratic form are LAMBDA_{3,lambda}, P_6^(5), phi_6, F_14).at n=27A002706
- Generalized Fibonacci numbers A_{n,4}.at n=31A006209
- Coordination sequence T4 for Zeolite Code EUO.at n=42A008099
- Coordination sequence T2 for Zeolite Code LOV.at n=45A008135
- Coordination sequence T1 for Zeolite Code MTT.at n=42A008189
- Expansion of exp(tan(x)/cos(x)).at n=7A009253
- Expansion of e.g.f. sinh(tan(x)/cos(x)), odd powers only.at n=3A009612
- a(n) = floor(n*(n-1)*(n-2)/15).at n=42A011897
- Powers of cube root of 7 rounded down.at n=13A017994
- a(n) = n*(9*n - 1)/2.at n=32A022266
- a(n) = position of n^3 + (n+1)^3 + (n+2)^3 in A003072.at n=22A024972
- Numbers k that divide the (left) concatenation of all numbers <= k written in base 11 (most significant digit on left).at n=18A029480
- Increments used in Sedgewick-Incerpi upper bound for shell sort.at n=9A036569
- Triangle read by rows: matrix 4th power of the Stirling2 triangle A008277.at n=33A039812
- Numbers whose base-3 representation contains exactly four 0's and no 1's.at n=28A044985
- Numbers whose base-3 representation contains exactly four 0's and four 2's.at n=7A045013
- Even numbers seen in decimal expansion of Pi (disregarding the decimal period) contiguous, smallest and distinct.at n=21A050818